Question

1. Present ages of Asha and Amina are in the ratio 4:5. Eight year from now, the ratio of their

ages will be 5:6. Find their present ages.

Answer 1

32 and 40

Explanation:

Their ages are in the ratio 4 : 5 = 4x : 5x ( x is a multiplier )

In 8 years their ages will be

4x + 8 and 5x + 8 in the ratio 5 : 6

Expressing this ratio in fractional form

`(4x+8)/(5x+8)` =
`(5)/(6)` ( cross- multiply )

5(5x + 8) = 6(4x + 8) ← distribute parenthesis on both sides

25x + 40 = 24x + 48 ( subtract 24x from both sides )

x + 40 = 48 ( subtract 40 from both sides )

x = 8

Thus their present ages are

Asha = 4x = 4(8) = 32

Amina = 5x = 5(8) = 40