Q.2 The age of Rahul and Haroon are in the ratio 5:3.If they differ by 18, what are the numbers?
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Answer:
Let the ages of Rahul and Haroon be 5x and 7x.
Four years later,
The ages of Rahul and Haroon will be (5x + 4) and (7x + 4) respectively.
According to the question,
(5x + 4) + (7x + 4) = 56
⇒ 5x + 4 + 7x + 4 = 56
⇒ 12x + 8 = 56
⇒ 12x = 56 - 8
⇒x=4812\Right arrow x=\frac{48}{12}⇒x=1248
⇒ x = 4
∴, Present age of Rahul = 5x = 5×4 = 20
And, present age of Haroun = 7x = 7×4 = 28
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