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

Given:

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

To do:

We have to find their present ages.

Solution:

Let $5x$ and $7x$ be the ages of Rahul and Haroon.

After $4$ years:

Rahul's age $=( 5x+4)$ years

Haroon's age$=( 7x+4)$ years

According to the question:

$( 5x+4)+ ( 7x+4)=56$

$\Rightarrow 5x+7x+8=56$

$\Rightarrow 12x=48$

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

$x=4$

Rahul's age $=5x=5\times4=20$ years

Haroon's age$=7\times=7\times 4=28$ years 

Therefore, the present age of Rahul is 20 years and the present age of Haroon is 28 years. 

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Updated on: 10-Oct-2022

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