Multiple choice

The ages of Vijender and Rishi are in the ratio 11 : 13. After 7 years, the respective ratio of their ages will be 20 : 23. What is the difference between their ages?

  1. 10 years

  2. 8 years

  3. 6 years

  4. 4 years

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

Let ages be 11x and 13x. (11x + 7) / (13x + 7) = 20 / 23. 23(11x + 7) = 20(13x + 7) => 253x + 161 = 260x + 140 => 7x = 21 => x = 3. Ages are 33 and 39. Difference is 39 - 33 = 6.

AI explanation

Let the present ages of Vijender and Rishi be 11x and 13x respectively. After 7 years, the ratio of their ages gives the equation (11x + 7) divided by (13x + 7) equals 20 divided by 23. Solving this yields 253x + 161 = 260x + 140, so 7x = 21 and x = 3. The difference between their ages is 13x minus 11x, which is 2x, making the difference 6 years.

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