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5 years ago, the ages of father and son were in the ratio 5 ∶ 3. The sum of their present ages is 90 years. The present age of father is:1. 50 years2. 60 years3. 55 years4. None of these |
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Answer» Correct Answer - Option 3 : 55 years Given: Ratio of the ages of father and son 5 years ago = 5 : 3 The sum of their present ages = 90 years Calculation: Let the ratio of their ages 5 years ago be 5x and 3x respectively Present age of father = 5x + 5 Present age of son = 3x + 5 According to the question ⇒ (5x + 5) + (3x + 5) = 90 ⇒ 8x + 10 = 90 ⇒ 8x = 90 – 10 ⇒ 8x = 80 ⇒ x = 10 The present age of father = 5x + 5 = (5 × 10 + 5) years ⇒ 55 years ∴ The present age of father is 55 years |
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