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B is twice as old as A today. In 10 years, the ratio of ages of A and B will be 2 : 3. Find the present age of B.1. 12 years2. 10 years3. 20 years4. 15 years |
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Answer» Correct Answer - Option 3 : 20 years Given: B is twice as old as A today In 10 years, the ratio of ages of A and B will be 2 : 3 Calculation: B is twice as old as A today ⇒ B = 2A ⇒ B/A = 2/1 Let the present age of A be ‘x’ ⇒ B = 2x, A = x In 10 years ratio of A : B becomes 2 : 3 ⇒ (x + 10)/(2x + 10) = 2/3 ⇒ 3x + 30 = 4x + 20 ⇒ x = 10 Age of B ⇒ 2 × 10 ⇒ 20 years ∴ The present age of B is 20 years. |
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