Question

The present ages of $A$ and $B$ are in the ratio $5:6$. Three year ago, their ages were in the ratio $4:5$, find there present ages.

Answer 1

Ratio of the present ages of A and B$=5:6$
Let age of A$=5x$
and age of B $=6x$
$3$ years hence,
Age of A was $=5x-3$
and age of B was $=6x-3$
$\frac{5x-3}{6x-3}=\frac{4}{5}$
$\Rightarrow 25x-15=24x-12$
$\Rightarrow 25x-24x=-12+15$
$\Rightarrow x=3$
Present ages of A $=5x=5\times 3=15years$
and age of B$=6x=6\times 3=18years$