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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?

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?

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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\times4 = 20

                               Haroon  = 7\times4 = 28 

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