Multiple choice

The age of Rohan and Mohan are in the ratio of 7: 10 respectively. After 6 years the ratio of their age will be 17 : 23. What is the difference in their age?

  1. 8 years

  2. 10 years

  3. 6 years

  4. 4 years

  5. 12 years
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E Correct answer
Explanation

Let Rohan's age = 7x, Mohan's age = 10x. After 6 years: (7x + 6)/(10x + 6) = 17/23. Cross multiply: 23(7x + 6) = 17(10x + 6). This gives 161x + 138 = 170x + 102. So 138 - 102 = 170x - 161x, which means 36 = 9x, giving x = 4. Difference = 10x - 7x = 3x = 3 × 4 = 12 years.

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