Question

The ages of X and Y are in the ratio 1 : 2. After 8 years, their ages will be in the ratio 3 : 4. The sum of their present ages is​

Answer 1

Let the present age be x & 2x.

After 8 years, age be 3x & 4x.

$\frac{x + 8}{2x + 8} = \frac{3x}{4x} \\ \\ 4 {x}^{2} + 32x = 6 {x}^{2} + 24x \\ 4 {x}^{2} = 8x \\ x = 2$

Sum of their present age is (x + 2x) or 6