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 present ages of Rahul and Haroon be 5x years and 7x years respectively.
According to condition, (5x+4)+(7x+4)=56
⇒ 12x+8=56
⇒ 12x+8-8=56-8 [Subtracting 8 from both sides]
⇒ 12x/8
⇒ 12x/12=48/12 [Dividing both sides by 12]
⇒ x=4
Hence, present age of Rahul = 5 x 4 = 20 years and present age of Haroon = 7 x 4 = 28 years.

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