Question

Present age of vinita and anita are in the ratio 4:5 . Eight years from now ratio of their ages will be 5:6 . Find their present age.

Answer 1

32,40 will be the answer.

Answer 2

✦ Question

Present ages of vinita and Anita are in the ratio 4:5. Eight years from now, the ratio of their ages will be 5: 6 . Find their present ages.

✦Given

Present ages of vinita and Anita are in the ratio 4:5. Eight years from now, the ratio of their ages will be 5: 6.

✦ To Find

What's their present ages ?

✦ Solution

Consider vinita present age = 4x years

Anita present age = 5x years

Eight years later, Vinita age = ( 4x + 8 ) years

Anita age = ( 5x + 8 ) years

As per the Question ,

$\frac{4x + 8}{5x + 8} = \frac{5}{6}$

By cross multiplication, we have

6 ( 4x + 8 ) = 5 ( 5x + 8 )

= 24x + 48 = 25x + 40

= 48 - 40 = 25x - 25x

= 8 = x

Hence ,

Vinita present age = 5x years = ( 4 × 8 ) years = 32 years.

Anita present age = 5x years = ( 5 × 8 ) years = 40 years.