Multiple choice

A is 5 years older than B, who is 2 years older than half of age of C. If the average age of A, B and C is 59 years, then find the age of B after 6 years.

  1. 50 years

  2. 44 years

  3. 60 years

  4. 54 years

  5. 40 years
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A Correct answer
Explanation

Let the present age of A be x years.

Then, present age of B = x - 5 years and that of C = 2(x - 5 - 2) = 2x - 14 years 

So, average of A, B and C = 59 years 

(x + x - 5 + 2x - 14)/3 = 59

x = 49

So, the present age of A is 49 years.

Then present age of B = 49 - 5 => 44 years 

Therefore B's age after 6 years = 44 + 6 => 50 years.

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