Multiple choice

The ages of Shakti and Kanti are in the ratio of 8:7 respectively. After 10 years, the ratio of their ages will be 13:12. What is the difference between their ages?

  1. 8 years

  2. 4 years

  3. 2 years

  4. 6 years

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let ages be 8x and 7x. After 10 years, (8x + 10) / (7x + 10) = 13 / 12. Cross-multiplying gives 96x + 120 = 91x + 130, so 5x = 10, meaning x = 2. The difference in ages is 8x - 7x = x = 2 years.

AI explanation

Let the present ages of Shakti and Kanti be 8x and 7x. In 10 years, the ratio of their ages will be 13:12, giving the equation (8x + 10) / (7x + 10) = 13 / 12. Cross-multiplying yields 96x + 120 = 91x + 130, which simplifies to 5x = 10 and x = 2. The difference between their ages is 8x - 7x = x, which equals 2 years.

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