Multiple choice

A few years ago, Neha's age was equal to Priya's present age. At that time, the ratio of their ages was 4 : 3. In the future, when Priya reaches Neha's current age, what will be the ratio of Neha's age to Priya's age at that time?

  1. 4 : 3

  2. 3 : 2

  3. 5 : 4

  4. 6 : 5
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Neha's age be N and Priya's be P. A few years ago (x years), N-x = P and (N-x)/(P-x) = 4/3. Substituting P for N-x, we get P/(P-x) = 4/3, so 3P = 4P - 4x, or P = 4x. Then N = 5x. When Priya reaches Neha's age (5x), she will be 5x. This takes 5x-4x = x years. Neha will be 5x+x = 6x. The ratio is 6x:5x = 6:5.

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