Multiple choice

The ratio of the ages of Ram and Rahim 10 years ago was 1 : 3.The ratio of their ages five years five years hence will be 2 : 3.Then the ratio of their present age is -

  1. 1 : 2

  2. 3 : 5

  3. 3 : 4

  4. 2 : 5
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let present ages be R and R. 10 years ago: (R-10)/(Ra-10) = 1/3 → 3R-30 = Ra-10 → Ra = 3R-20. In 5 years: (R+5)/(Ra+5) = 2/3 → 3R+15 = 2Ra+10 → 3R+15 = 2(3R-20)+10 → 3R+15 = 6R-30 → 3R = 45 → R=15, Ra=25. Present ratio = 15:25 = 3:5.

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