Question

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?

Answer 1

Let Rahul's age = 5x
Let Haroon's age = 7x
A/Q (5x+4)+(7x+4) = 56
5x+7x+8 = 56
12x = 48
x = 4
Rahul's age = 5x = 5x4 = 20 years
Haroon's age = 7x = 7x4 = 28 years

Answer 2

Answer:

The present ages of Rahul and Haroon are 20 and 28 respectively.

To find:

The present ages of Rahul and Haroon

Solution:

Let the Ages of Rahul and Haroon is R and H.

Given Ratio is  

$\begin{array} { c } { \frac { R } { H } = \frac { 5 } { 7 } } \\ \\{ R = \frac { 5 H } { 7 } \ldots \ldots 1 } \end{array}$

Four years later the sum of their ages will be 56 years.

$\begin{array} { c } { ( R + 4 ) + ( H + 4 ) = 56 } \\\\ { R + H = 48 \ldots \ldots 2 } \end{array}$

By solving the equations 1 and 2 we get

$\begin{array} { c } { \frac { 5 H } { 7 } + H = 48 } \\\\ { ( 5 H + 7 H ) = 48 \times 7 } \\\\ { 12 H = 336 } \\ \\{ H = 28 } \end{array}$

Substitute H=28 in equation (2),

$\begin{array} { c } { R + 28 = 48 } \\\\ { R = 20 } \end{array}$

Hence, the present ages of Rahul and Haroon are 20, 28 respectively.