Multiple choice

The total of present ages of P, Q and R is 90 years. Ten years ago, their age ratio was 1 : 2 : 3. What is the present age of Q?

  1. 36 years

  2. 30 years

  3. 18 years

  4. 20 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let ages 10 years ago be x, 2x, 3x. Sum of present ages is (x+10) + (2x+10) + (3x+10) = 90. So 6x + 30 = 90, 6x = 60, x = 10. Q's present age is 2x + 10 = 20 + 10 = 30.

AI explanation

Ten years ago, the ratio of their ages was 1 : 2 : 3, meaning their ages were x, 2x, and 3x. Their present ages are therefore x + 10, 2x + 10, and 3x + 10. Since the sum of their present ages is 90, we write x + 10 + 2x + 10 + 3x + 10 = 90, which simplifies to 6x + 30 = 90 and x = 10. Q's present age is 2(10) + 10 = 30 years.

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