Multiple choice

The ages of Shyam and Mohan are in the ratio of 11 : 13 respectively. After 7 years the ratio of their ages will be 20 : 23. What is the difference in years between their ages?

  1. 4 years

  2. 7 years

  3. 6 years

  4. 5 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Shyam's age = 11x and Mohan's age = 13x, so their difference = 2x. After 7 years: (11x+7)/(13x+7) = 20/23. Cross-multiply: 253x + 161 = 260x + 140, which gives 7x = 21, so x = 3. The difference in their ages = 2x = 6 years, which is constant throughout their lives. Option C is correct.

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