Question

sanjay is now 1/2 as old as his bro in 6 more years he will be 3/5 as old as his bro then. what is the present age of each boy.

Answer 1

let the sanjay's bro age is x
then Sanjay age be y
then
$y = \frac{x}{2} \\ and \\ y + 6 = \frac{3}{5} (x + 6) \\ putting \: value \: of \: y \\ \frac{x}{2} + 6 = \frac{3}{5} x + \frac{18}{5} \\ \frac{x}{10} = \frac{12}{5} \\ x = 24 \\ y = 12$

Answer 2

let his bro age x
then sanjay age will be 1/2x

after 6 years
sanjay age =1/2x+6
his bro age = x+6

1/2x+6=3/5(x+6)
1/2x+6=3/5x+ 18/5
6-(18/5)=3/5x-1/2x
12/5=1/10x
x= (12/5)*10
x= 24
bro age 24
sanjay age 12