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The total ages of Amit, Sumit and Puneet is 85 years. Five years ago the ratio of their ages was 2 : 3 : 5. What is the present age of Sumit?1. 21 years2. 26 years3. 27 years4. 23 years5. None of these |
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Answer» Correct Answer - Option 2 : 26 years Solution: Given: Total ages of Amit, Sumit and Puneet = 85 years Ratio of Amit, Sumit and Puneet ages five years ago = 2 : 3 : 5 Calculation: Let five years ago the ages of Amit, Sumit and Puneet is 2x, 3x and 5x respectively. Then, their present ages is (2x + 5) + (3x + 5) + (5x + 5) = 85 ⇒ 2x + 5 + 3x + 5 + 5x + 5 = 85 ⇒ 10x + 15 = 85 ⇒ 10x = 85 – 15 ⇒ 10x = 70 ⇒ x = 7 Present age of Sumit = 3x + 5 ∴ 26 years |
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