Question

Present age of Anu and Raj are in the ratio 4:5. Eight years from now the ratio of there ages will be 5:6. Find there present age

Answer 1

The answer is here. Look at it.

Answer 2

✦ Question

Present ages of Anu and Raj 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 Anu and Raj 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 Anu present age = 4x years

Raj present age = 5x years

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

Raj 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 ,

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

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