Multiple choice

Mohanti is 9 years older than his younger sister Kranti. Kranti's age 9 years ago was three times the difference between the present ages of her parents. Kranti's mother was 19 years old when Mohanti was born. What is the present age of Kranti, if his father is the oldest among them and was 21 years old when Mohanti was born?

  1. 15 years

  2. 9 years

  3. 12 years

  4. 18 years

  5. None of the above
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let Kranti be K, Mohanti be M=K+9. Mother was 19 when M was born, so Mother = M+19 = K+28. Father was 21 when M was born, so Father = M+21 = K+30. Kranti's age 9 years ago was K-9. The difference between parents' ages is (K+30)-(K+28) = 2. Kranti's age 9 years ago was 3 * 2 = 6. So K-9 = 6, K = 15.

AI explanation

Let the present ages of the mother and father be M and F, respectively, and Kranti's present age be K. Since the mother was 19 when Mohanti was born, and the father was 21 when Mohanti was born, the difference between the parents' ages is 2 years. Kranti's age 9 years ago was K minus 9, which equals 3 times 2, making K minus 9 equal 6. Therefore, Kranti's present age is 15 years.

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