Question

The ratio of the present ages of two brother is 1 ratio 2 and 5 years back the ratio 1 ratio 3 what will be the ratio of their ages after 5 years

Answer 1

$let \: present \: age \: ratio = \frac{1x}{2x} \\ five \: year \: back \: ratio \: = \frac{1x - 5}{2x - 5} = \frac{1}{3} \\ 3(x - 5) = 2x - 5 \\ 3x - 15 = 2x - 5 \\ 3x - 2x = 15 - 5 \\ x = 10 \\ present \: age \: 10 \: and \: 20 \\ after \: 5 \: years \: age \: is \: 15 \: and \: 25$