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Linear Equations in One Variable
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04/08/2021 11:11 am
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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?
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04/08/2021 11:19 am
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
⇒ 12x = 48
⇒ x = \(\frac{48}{12}\)
⇒ x = 4
Therefore, Present age of Rahul = 5x
= 5 x 4 = 20
And, present age of Haroon = 7x
= 7 × 4 = 28