Multiple choice

Ten years ago, Arihant was half of Dinkar in age. If the ratio of their present ages is 3:4, what willbe the total of their present ages?

  1. 35

  2. 45

  3. 50

  4. 55
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let Arihant be A and Dinkar be D. Present ages ratio A/D = 3/4. 10 years ago: (A-10)/(D-10) = 1/2. 2A - 20 = D - 10. Since D = 4A/3, 2A - 20 = 4A/3 - 10. 2A/3 = 10, A = 15. D = 20. Total = 35.

AI explanation

Ten years ago, the ratio of their ages was 1:2, which can be written as (3x - 10) / (4x - 10) = 1/2. Cross-multiplying yields 6x - 20 = 4x - 10, which simplifies to 2x = 10 and x = 5. The total of their present ages is 3x + 4x = 7(5) = 35.

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