# Q.9 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?

Let the current age of Rahul and Haroon be 5x and 7x repectively(Since there age ratio is given as 5:7).

Four years later their ages becomes 5x + 4 and 7x + 4 repectively.

According to the question,

5x + 4 +7x + 4 = 56

or              12x + 8 = 56

Transposing 8 to the RHS we get,

12x = 48

Dividing both sides by 12:

$x = \frac{48}{12} = 4$

Thus current age of  Rahul  = 5$\times$4 = 20

Haroon  = 7$\times$4 = 28

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