Question

The ratio of the ages of two sisters is 2:3. Six yrs later , the ratio of their ages will be 3:4 . Find their present ages.

Answer 1

Let the ratio be 2x : 3x


Six years later, ratio will be 3 : 4



$=> \frac{2x + 6}{3x + 6} = \frac{3}{4} \\ \\ => 4(2x + 6) = 3(3x + 6)$

=> 8x + 24 = 9x + 18

=> 24 - 18 = 9x - 8x

=> 6 = x




Hence, their present ages are:

2x = 2(6) = 12 years
3x = 3(6) = 18 years