Multiple choice

The present average age of Ravi, Rakesh and Amit is 24 years. Two years ago, the average age of Ravi and Rakesh was 23 years, and four year ago, the average age of Ravi and Amit was 26 years. Find the present age of Ravi.

  1. 28 years

  2. 34 years

  3. 38 years

  4. 42 years

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

Let R, K, A be present ages. (R+K+A)/3 = 24 => R+K+A = 72. Two years ago: (R-2+K-2)/2 = 23 => R+K = 50. Four years ago: (R-4+A-4)/2 = 26 => R+A = 60. From R+K=50 and R+K+A=72, A=22. From R+A=60 and A=22, R=38.

AI explanation

Let the present ages of Ravi, Rakesh and Amit be R, K and A respectively. The total of their present ages is R + K + A = 72. Two years ago, the sum of Ravi and Rakesh was 46, so R + K = 50 today. Four years ago, the sum of Ravi and Amit was 52, so R + A = 60 today. Substituting R + K into the total gives 50 + A = 72, making Amit 22 years old. Plugging Amit's age into R + 22 = 60 gives Ravi's present age as 38 years.

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