Question

Jan is x years old, her sister is twice as old as her, and her brother is three times older than her. Their ages add up to 29. How old is each sister?

Answer 1

Jan's age =
`4(5)/(6)` years

Sister's age =
`9(2)/(3) \: years`

Explanation:

Jan's age = x years

Sister's age = 2x years

Brother's age = 3x years

According to the given condition:

x + 2x + 3x = 29

6x = 29

x = 29/6

x =
`4(5)/(6)` years

2x =
`2* (29)/(6)= (29)/(3)=9(2)/(3) \: years`

Therefore,

Jan's age =
`4(5)/(6)` years

Sister's age =
`9(2)/(3) \: years`