Question

The age of Rahul and Haroon are in the ratio of $5:7$. Four years later the sum of ages will be $56$ years. What are their present ages?

Answer 1

Let the current age of Rahul and Haroon be $5x$ and $7x$ respectively

Four years later

the ages of Rahul $=5x+4$

the age of Haroon $=7x+4$

According to the question,

The sum of ages is $56$

$\Rightarrow 5x+4+7x+4=56$

$\Rightarrow 12x+8=56$

$\Rightarrow 12x=56-8$

$\Rightarrow 12x=48$

$\Rightarrow x=\frac{48}{12}$

$\Rightarrow x=4$

The current age of Rahul$=5x$

$$\begin{gathered} =5\times 4 \\ =20yrs \end{gathered}$$

The current age of Haroon $=7x$

$=7\times 4$

$=28yrs$

hence, The present ages of Rahul and Haroon are $20$years and $28$ years respectively.