Multiple choice

The average of the age of Rahul, Arun and Deepak is 35 years. After 5 years Rahul will be two and half times as old as Arun who will be twice as old as Deepak. Find the present age of Deepak? (in years)

  1. 15

  2. 10

  3. 20

  4. 25

  5. 30
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Current average age is 35, so R + A + D = 105. After 5 years: R+5 = 2.5(A+5) means R = 2.5A + 7.5; A+5 = 2(D+5) means A = 2D + 5. Substituting: 2.5(2D+5) + 7.5 + (2D+5) + D = 105. Solving: 5D + 12.5 + 7.5 + 2D + 5 + D = 105; 8D + 25 = 105; 8D = 80; D = 10. Option B is correct.

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