Question

Tiana is two-fifths of her
sister's age. The sum of their
ages is 14. How old is Tiana?​

Answer 1

`4`

Explanation:

Tiana's sister age is
`x`.

Tiana's age is:

`(2)/(5) x`

Adding their ages gives
`14`.

`x+(2)/(5) x=14`

`1.4x=14`

`(1.4x)/(1.4)=(14)/(1.4)`

`x=10`

Put
`x` as
`10`:

`(2)/(5) (10)=4`

Therefore, Tiana is 4 years old.