Question

Present age of Rohit and Mayank are in the ratio $11:8.8$ years hence the ratio of their ages will be $5:4$. Find their present ages.

Answer 1

Ratio in the present ages of Rohit and Mayank $=11:8$
Let age of Rohit $11x$, then that of Mayank $=8x$
$8$ years hence, their ages will be
Age of Rohit $=11x+8$ years
and age of Mayank $=8x+8$ years
and the ratio of their ages after $8$ years $=5:4$
$\frac{11x+8}{8x+8}=\frac{5}{4}$
$\Rightarrow 44x+32=40x+40$
$\Rightarrow 44x-40x=40-32$
$\Rightarrow 4x=8$
$\Rightarrow x=2$
Present age of Rohit $=11x=11\times 2=22$ years
and age of Mayank $=8x=8\times 2=16$ years.