Multiple choice

Rahul mother's present age is six times Rahul's present age. Rahul's age five years from now will be one-third of his mother's present age. What are their present ages?

  1. Present age of Rahul is $8$ years and that of his mother is $48$ years
  2. Present age of Rahul is $9$ years and that of his mother is $54$ years
  3. Present age of Rahul is $5$ years and that of his mother is $30$ years
  4. Present age of Rahul is $4$ years and that of his mother is $24$ years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let R be Rahul's age, M be mother's age. M = 6R. (R+5) = (1/3)M. Substitute M: R+5 = (1/3)(6R) = 2R. R = 5. M = 6(5) = 30.

AI explanation

Let Rahul's present age be x, so his mother's present age is 6x. Five years from now, Rahul's age will be x + 5, which equals one-third of his mother's present age, giving the equation x + 5 = 6x / 3. Simplifying this yields x + 5 = 2x, so x = 5. The present age of Rahul is 5 years and the present age of his mother is 30 years.

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