Multiple choice

Five years ago, the ratio of the ages of Priya and Tanvi was 3 : 4. Fifteen years from now, the ratio of their ages will be 5 : 6. The present ages of Priya and Tanvi are M years and N years, respectively. Quantity I: M - N/9 Quantity II: 0.4N + 8

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I ≥ Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or no relation
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A Correct answer
Explanation

Let ages 5 years ago be 3x and 4x. Current ages M = 3x+5, N = 4x+5. (3x+20)/(4x+20) = 5/6. Solving gives 18x+120 = 20x+100, so 2x=20, x=10. M=35, N=45. Q1: 35 - 45/9 = 30. Q2: 0.4(45) + 8 = 18 + 8 = 26. 30 > 26.

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