Multiple choice

Rajan got married eight years ago. His present age is 6/5 times his age at the time of his marriage. Rajan's sister was 10 years younger to him at the time of his marriage. The present age of Rajan's sister is

  1. 32 years

  2. 36 years

  3. 38 years

  4. 40 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let R be Rajan's age at marriage. Current age = R + 8. Given R + 8 = (6/5)R, so 8 = R/5, R = 40. Rajan's current age = 48. Sister was 10 years younger at marriage, so she was 30. Current age of sister = 30 + 8 = 38.

AI explanation

Let Rajan's age at the time of his marriage be 5x, making his present age 8 years later equal to 5x + 8. We are told his present age is 6/5 of his age at marriage, so 5x + 8 = (6/5) * 5x, which simplifies to 5x + 8 = 6x and gives x = 8. Rajan's present age is 6 * 8 = 48, and since his sister was 10 years younger than him at the marriage, her present age is also 10 years younger, making her 38 years old today.

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