Multiple choice

The ratio of present ages of Shirish and Kunder is 5 : 6. After 8 years, the ratio of their ages will be 7 : 8. What is the difference between their present ages?

  1. 4 years

  2. 8 years

  3. 10 years

  4. 12 years

  5. None of these
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A Correct answer
Explanation

Let ages be 5x and 6x. (5x+8)/(6x+8) = 7/8. 40x + 64 = 42x + 56. 2x = 8, so x = 4. The difference is 6x - 5x = x = 4 years.

AI explanation

Let the present ages of Shirish and Kunder be 5x and 6x respectively. After 8 years, their ages will be 5x + 8 and 6x + 8, giving the equation (5x + 8) divided by (6x + 8) equals 7 divided by 8. Cross-multiplying yields 40x + 64 = 42x + 56, which simplifies to 2x = 8 and x = 4. Their present ages are 20 and 24, making the difference between their ages 4 years.

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