# Math

posted by .

Write an equation which models how old in years each of you will be when you are three times as old as the younger person. My age is 30, my son is 6.

• Math -

30+x=3(6+x)

• Math -

first observe that you are 24 years older than your son. also, since we are required of the ages, we represent these unknown ages using variables:
let x = your son's age
let x+24 = your age
note that when your son's age is x years, you are three times as old. therefore,
3x = x+24
3x-x = 24
2x = 24
x = 12 years old (age of your son)
and your age is
x+24 = 36 years old

checking: note that 12*3 = 36, which satisfies the condition given.

hope this helps~ :)

## Similar Questions

1. ### algerbra

mrs. johnson is 3 times as old as her son. ten years agoe she was 5 times as old as her son was then. what is the two equations for this problem?
2. ### algebra

A person is 3 times as old as aonther person but in 15 years she will only be 2 times as old. I found the answer the younger person is 15 years old and the older person is 45 years old. But 15 years from now the younger person will …
3. ### Math

Could someone please help me solve this problem, the age numbers that I am working with are 10yrs old 55yrs old and 75yrs. old. I need to know at my age of 55, in years, how old was the older person of 75 when I was born?
4. ### Math

two people aged 15 and 50. At some point during their lives, the elder will be three times the age of the younger. Write an equation which models how old in years each will be when the elder will be three times as old as the younger …
5. ### math

use the names and ages of yourself and the other two people you selected. Make sure one is older than you and one is younger than you. In years, how old was the older person when you were born?
6. ### algebra

Jill is 2 years older than Mike. in 5 years, 5 times Mike's age will be 4 times Jill's age. how old is Mike?
7. ### math

A. A woman was 30 years old when her daughter was born.Her age is now 6 years more than three times her daughter's age. How old will the daughter be in 5 years?
8. ### math

Write an equation which models how old in years each of you will be when you are three times as old as the younger person use age 10 and 48?
9. ### algebra

The combined age of a father and his two sons is 50 years. Four years ago the father was eight times as old as his older son. Four years from now he will be 4 times as old as his younger son. Find the age of each at present. I found …
10. ### Maths ( Higher Level) Simultaneous Equations.

A mother is x years old, her son is y years old and the sum of theirs ages together is 58 years. Five years ago, the mother was five times as old as the son. Write two equations in x and y and solve them to find the age of their mother …

More Similar Questions