Multiple choice

At present, five times of the age of Rahul is equal to three times of the age of Rocky. The age of Rocky’s wife is 5 years less than that of Rocky. 5 years ago, the ratio of the age of Rahul and Rocky’s wife was 2 : 3. At present, what is the average age of Rahul, Rocky and his wife?

  1. 15

  2. 18

  3. 20

  4. 22

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

From 5R = 3K, we get Rahul's age R = 3K/5. Rocky's wife is K-5. Using the ratio (R-5)/(W-5) = 2/3 where W = K-5, we substitute to get (3K/5 - 5)/(K-10) = 2/3. Solving: 3(3K/5 - 5) = 2(K-10) → 9K/5 - 15 = 2K - 20 → 9K = 10K - 25 → K = 25. Then R = 3(25)/5 = 15 and Wife = 20. Average = (15+25+20)/3 = 20.

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