12 years ago, a mother was twice as old as her son. their present age are in the ratio of 14:9. find their present ages.​

Answers

Answer 1

Answer:

The presents age of the mom is 42 years old, and of the son is 27 years old.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

The mothers age is x.

The son's age is y.

12 years ago, a mother was twice as old as her son.

This means that:

[tex]x - 12 = 2(y - 12)[/tex]

[tex]x = 2y - 24 + 12[/tex]

[tex]x = 2y - 12[/tex]

Their present age are in the ratio of 14:9.

This means that:

[tex]\frac{x}{y} = \frac{14}{9}[/tex]

[tex]14y = 9x[/tex]

Since [tex]x = 2y - 12[/tex]

[tex]14y = 9(2y - 12)[/tex]

[tex]18y - 108 = 14y[/tex]

[tex]4y = 108[/tex]

[tex]y = \frac{108}{4}[/tex]

[tex]y = 27[/tex]

[tex]x = 2*27 - 12 = 54 - 12 = 42[/tex]

The presents age of the mom is 42 years old, and of the son is 27 years old.


Related Questions

What is the volume of a cube with edge length 1/3 cm

Answers

Answer:

1/27 cm3

Step-by-step explanation:

(1/3)(1/3)(1/3)

Simplify 3(x + 3) – 2x + 4

Answers

Answer:

x + 13

Step-by-step explanation:

Distribute:

3x + 9 - 2x + 4

Evaluate:

3x - 2x = 1x

9 + 4 = 13

Answer:

x + 13

what is the value of 58 - 2 x 3 + 1

Answers

Answer:

53

Step-by-step explanation:

Three teachers buy prizes to put in the prize bin at school. Mrs. Maiers spends $7.68 on stickers.
Mr. Lang spends $11.52 on balloons. Mrs. Connor spends $17.64 on pencils.

Part A
Use the bar diagram to help find how much the teachers spend in all on the prizes.

A bar diagram with a bar labeled stickers, a bar labeled balloons, and bar labeled pencils that equal the total cost.

Enter your answer in the box.

Answers

Hi there! The answer to this problem would be 36.64$.

Step By Step:

So there is three teachers and they all brought something.

_____________________________________

| Mrs.Maiers  | 7.68$                                                |

| Mr.Lang       | 11.52$                                               |

| Mrs.Connor | 17.64$                                              |

______________________________________

Total Cost: 36.64

(2x −6) +4 (x −3)
find the sum

Answers

Answer:

6 x (x - 3)

Step-by-step explanation:

Answer:

6x - 18

Step-by-step explanation:

Distribute the 4

2x - 6 + 4x -12

Combine like terms

2x + 4x = 6x

-6 - 12 = -18

need help with this problem ​

Answers

Answer:

 h(x) =  -x² + 11 x + 2

Step-by-step explanation:

Explanation:-

Given that the functions are  

                                            f(x) = 2 x² - 5x -3

                                            g(x) = x² + 6x -1

               h(x)  = g(x) - f(x)

                      = x² + 6x -1 - (2 x² - 5x -3)

                     = - x² + 6 x +5x -1+3

                    = -x² + 11 x + 2

            h(x) =  -x² + 11 x + 2

Final answer:-

h(x) =  -x² + 11 x + 2

                             

If a half gallon of milk costs $1.24, what is the cost per pint?

Answers

$0.31 for each pint hope this helps

Laura creates a rectangular prism with wooden cubes. Each cube has an edge length of 3/4 inch. she uses a total of 240 cubes. the cubes are stacked 8 cubes high. What are the possible measurements for the length and width of the rectangular prism in inches.
Enter each measurement on a separate line.

Answers

Answer:00.24

explanation:

Just add the decimal form and multiply the 240 with the decimal of the 3/4

Find the minimum value of
C = 6x + 7y

Answers

the minimum value of c is 46

a small woodcarving company mailed 190 advertisements, some requiring 33 cents in postage and other requiring 55 cents in postage. if the total cost for the mailings was $75.90, how many mailings that require 33 cent stamps were sent?

Answers

Answer:

The history of postal service of the United States began with the delivery of stampless letters, whose cost was borne by the receiving person, later also encompassed pre-paid letters carried by private mail carriers and provisional post offices, and culminated in a system of universal prepayment that required all letters to bear nationally issued adhesive postage stamps.[1]

Benjamin Franklin postage stamp of 1895

In the earliest days, ship captains arriving in port with stampless mail would advertise in the local newspaper names of those having mail and for them to come collect and pay for it, if not already paid for by the sender. Postal delivery in the United States was a matter of haphazard local organization until after the Revolutionary War, when eventually a national postal system was established.[2] Stampless letters, paid for by the receiver, and private postal systems, were gradually phased out after the introduction of adhesive postage stamps, first issued by the U.S. government post office July 1, 1847, in the denominations of five and ten cents, with the use of stamps made mandatory in 1855.

The issue and use of adhesive postage stamps continued during the 19th century primarily for first class mail. Each of these stamps generally bore the face or bust of an American president or another historically important statesman. However, once the Post Office realized during the 1890s that it could increase revenues by selling stamps as "collectibles," it began issuing commemorative stamps, first in connection with important national expositions, later for the anniversaries of significant American historical events. Continued technological innovation subsequently prompted the introduction of special stamps, such as those for use with airmail, zeppelin mail, registered mail, certified mail, and so on.[citation needed] Postage due stamps were issued for some time and were pasted by the post office to letters having insufficient postage with the postage due to be paid to the postal carrier at the receiving address.

Today, stamps issued by the post office are self-adhesive, and no longer require that the stamps be "licked" to activate the glue on their back. In many cases, post office clerks now use Postal Value Indicators (PVI), which are computer labels, instead of stamps.[citation needed]

Where for a century-and-a-half or so, stamps were almost invariably denominated with their values (5 cent, 10 cent, etc.) the United States post office now sells non-denominated "forever" stamps for use on first-class and international mail.[3] These stamps are still valid even if there is a rate increase. However, for other uses, adhesive stamps with denomination indicators are still available and sold.

Answer:

2.3

Step-by-step explanation:

The other letter to the left is X btw PLS HELP

Answers

Answer:

probably D

Step-by-step explanation:

answer: D

34+26=60
180-60=120

I am confused on what I need to do. someone please help?

Answers

Answer:

x = 16

Step-by-step explanation:

Since ∆ABC is congruent to ∆DEC, their corresponding angles would be equal to each other.

<B is congruent to <E, therefore,

<B = <E

x + 15 = 6x - 65 (substitution)

Collect like terms

x - 6x = -15 - 65

-5x = -80

Divide both sides by -5

x = 16

1. Each spring, Genevieve helps her mom plant flowers. There are 24 rows of
flowers and she plants 18 flowers in each row. How many flowers does Genevieve
plant?

Answers

Answer:

Genevieve plants a total of 432 flowers.

Step-by-step explanation:

18 flowers go in every row so you have to multiply the number of rows (24) by the number of flowers in each row (18) to get the total of 432 flowers.

Solve for a

a² + 7a - 8 = 0

Answers

Answer:

a=-8

Step-by-step explanation:

If a car travels x miles/hour for 3 hours, how far car travel after 6 hours?
a) x+3+3 miles
b) x+x miles
c) 9x miles
d) 2x miles
e) 6x+3x miles

Answers

Answer:

e will be the answer for sure of miles it happene d for the past hours he traveled in and how long

pls help this is due today whoever anders the most questions gets brainliest ​

Answers

Answer:

4. percent...........


You sell 300 shares of Dendreon Corp at $8.89. You purchased the stock at $42.87. How much money did you lose?
O $42.87
O $8.89
$2,667
O $10,194
$12,861

Answers

42.87 if you where to multiply 300 shares by $8.89 if would give you 2,667 and if you where to subtract $42.87 from 2,667 it would give you 2,624.13 and then subtract 2,667 from 2,624.14 it would give you 42.87 and that is your answer :)

The average cost of a bag of popcorn at the movie theater was $3.50 in 1995 and $4.75 in 2015 find the percentage change in the price of the bag of popcorn from 1995 to 2015 and classify as a percent increase or percent decrease

Answers

Answer:

500$ dollars

Step-by-step explanation:

Which symbol completes the inequality represented in the graph z _1.5 needed ASAP plz!!!!

Answers

z is greater than 1.5 so z>1.5

BRAINLYEST TO WHO EVER IS RIGHT!!!
How many zero pairs can be created in the model below?
O- 0
O- 1
O- 2
O- 3

Answers

Answer: -x because its more than one zero

Step-by-step explanation:

it takes 30 kids 6 hours to build a man sized Sand Castle. how many kids were there if the same game took only two-and-a-half hours ​

Answers

Answer:

There were 72 kids there.

Step-by-step explanation:

This question can be solved using proportions, by a rule of three.

The number of kids and time are inversely proportional, that is, if we increase the number of kids to build the castle, the time it takes will decrease. This means that to solve the rule of three, instead of applying cross multiplication, we apply line multiplication.

We have that:

30 kids - 6 hours

x kids - 2.5 hours.

Applying line multiplication

[tex]2.5x = 30*6[/tex]

[tex]x = \frac{180}{2.5}[/tex]

[tex]x = 72[/tex]

There were 72 kids there.

!!!!15 EASY POINTS!!!!

What is 8x times x?

Answers

Answer:

8x²

Step-by-step explanation:

Whenever it's multiplication, you would count how many x's there are and raise the x to the power of the number of x's.

The multiplication of 8x and x is 8x^2.

When we have to do multiplication,

We have given 8x and x.

What is the meaning of multiplication?

Multiplication is defined as calculating the result of repeated additions of two numbers.

you would count how many x's there are and

Raise the x to the power of the number of x's.

and that is

[tex]=8\times x\times x[/tex]

There are two x therefore we have

[tex]=8x^2[/tex]

Therefore the multiplication of 8x and x is 8x^2.

To learn more about the multiplication visit:

https://brainly.com/question/10873737

The Bayesian statistician Bruno de Finetti (1906–1985) began his 1973 book on probability theory with the declaration: "PROBABILITY DOES NOT EXIST." The capitals appeared in the original, so I imagine de Finetti wanted us to shout this statement. What he meant is that probability is a device for describing uncertainty from the perspective of an observer with limited knowledge; it has no objective reality. Discuss the globe tossing example from the chapter, in light of this statement. What does it mean to say "the probability of water is 0.7"?

Answers

Answer:

It means that if we select a random point around the globe, there is a 70% = 0.7 probability that it represents water.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

We know, that the planet Earth is formed 70% by water, and the globe represents this. This means, as the statement says, the if we select a random point around the globe, there is a 70% = 0.7 probability that it represents water.

Find the slope between the two points (-6, 3) and (12, 19)

Answers

Answer:

8/9

Step-by-step explanation:

(19-3)/(12-[-6])

16/18

8/9

Answer:

1/3

Step-by-step explanation:

Which of the points shown below are on the line given by the equation y = 4x?
Check all that appply.

Answers

Answer:

The answer would be (1,4)

Step-by-step explanation:

2x - 5y + 3z 5x + 9y - 2z

Answers

Answer:

3xz5+2x+4y−2z

Step-by-step explanation:

2x−5y+3z5x+9y−2z

=2x+−5y+3xz5+9y+−2z

Combine Like Terms:

=2x+−5y+3xz5+9y+−2z

=(3xz5)+(2x)+(−5y+9y)+(−2z)

=3xz5+2x+4y+−2z

ABC~DEF. ABC has a perimeter of 18 and a leg of 5. The base of DEF is 34.4. What is the perimeter of DEF.

Answers

Answer:

DEF =77.4 inches I attached an answer sheet so you can know how to work out the problem

help please asap i will give you a heart if you do

Answers

Answer:

30

Step-by-step explanation:

2(6)=12

3(6)=18

12+18=30

Step-by-step explanation:

its 30 2(6)=12 3(6)=18

30

Identify the shortest side of ABC

Answers

Answer:

AB

Step-by-step explanation:

angle C is 58 because 59+63=122 180-122=58

and drag and arrow to the opposite side of each angle and you have your answer

Enter an equality that matches the number line model. Use x as your variable.

Answers

Answer

x < - 3

Explanation

X is a number less than 3

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