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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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Answer» Let common ratio between Rahul’s age and Haroon’s age be x. Therefore, age of Rahul and Haroon will be 5x years and 7x years respectively. After 4 years, the age of Rahul and Haroon will be (5x + 4) years and (7x + 4) years respectively. According to the given question, after 4 years, the sum of the ages of Rahul and Haroon is 56 years. ∴ (5x + 4 + 7x + 4) = 56 12x + 8 = 56 On transposing 8 to R.H.S, we obtain 12x = 56 − 8 12x = 48 On dividing both sides by 12, we obtain 12x/12 = 48/12 x = 4 Rahul’s age = 5x years = (5 × 4) years = 20 years Haroon’s age = 7x years = (7 × 4) years = 28 years |
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