Question

The ratio of the present ages of two brothers is 1: 2 and 5 years back the ratio was 1:3 , what will be the ratio of their ages after 5 years?

• A. 1:4
• B. 2:3
• C. 3:5
• D. 5:6
• E. 6 : 7

Answer 1

The correct option is C

3:5

Let the present ages of the two brothers be x years and 2x years respectively

Then, $\frac{x-5}{2x+5}=\frac{1}{3}\iff 3(x-5)=(2x-5)\iff x=10$

$\therefore$ Required ratio = (x+5):(2x+5)=15:25=3:5