Question

The ratio of ages of Abha and her mother is $2:5$. At the time of Abha's birth, her mother's age was $27$ years. Find the present ages of Abha and her mother.

Answer 1

An let present age of Rehana and her mother is

'x' & 'y' respectively

Given $\frac{x}{y}=\frac{2}{7}$___(1)

$\frac{x+2}{y+2}=\frac{1}{3}\Rightarrow 3x+6=y+2$

$\Rightarrow 3\times \frac{2y}{7}+6=y+2$

$\Rightarrow 4=y-\frac{6y}{7}$

$\Rightarrow 4=\frac{y}{7}\Rightarrow y=28$

$\therefore x=8,y=28$

Hence, Rehane present age is '8' year's old.