Question

The ratio of the ages of father and son at present is 6 : 1. 5 years hence the ratio will become 7 : 2. The present age of the father is (in years)

Answer 1

Let the ages be 6x and 1x

A/Q

$\frac{6x + 5}{1x + 5} = \frac{7}{2}$

$2(6x + 5) = 7 (1x + 5)$

$12x + 10 = 7x + 35$

$12x - 7x = 35 - 10$

$5x = 25$

$x = \frac{25}{5}$

$x = 5$

The age of father=

6x=6×5=30

The age of father is 30 years