Multiple choice

The ratio of the ages of Tina and Rakesh is 9 : 10 respectively. Ten years ago the ratio of their ages was 4 : 5 respectively. What is the present age of Rakesh?

  1. 18

  2. 20

  3. 25

  4. 28

  5. 30
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let current ages be 9x and 10x. Ten years ago: (9x-10):(10x-10) = 4:5. Cross-multiply: 5(9x-10) = 4(10x-10). Solving: 45x - 50 = 40x - 40, so 5x = 10, x = 2. Rakesh's current age = 10x = 20 years. Verify: ages are 18 and 20 now (ratio 9:10), 10 years ago they were 8 and 10 (ratio 4:5).

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