# Math

posted by .

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 person.

• Math -

50 + x = elder's future age
15 + x = younger persons future age

50 + x = 3(15 + x)
50 + x = 45 + 3x
2x = 5
x = 2.5 yrs

50 + x = 50 + 2.5 = 52.5 yrs
15 + x = 15 + 2.5 = 17.5 yrs

3 * 17.5 = 52.5

## Similar Questions

1. ### 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?
2. ### 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. My age is 30, my son is 6.
3. ### 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?
4. ### 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?
5. ### 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?
6. ### vivekanand H s SCHOOL

the difference of ages between 2 sisters is 10 years, 15 years ago elder 1 was twice as old as younger age. find the both present age?
7. ### math

A is 15 years elder than B.5 years ago A is four times as old as B.find their present ages
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?