Question discussion

A is as much younger than B as he is older then C. If the sum of B's and C's age is 40 years. Find the age of A. ?

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A is as much younger than B as he is older then C. If the sum of B's and C's age is 40 years. Find the age of A. ?
  • A10 years
  • B20 years
  • C30 years
  • D40 years
Correct answer: B

Discussion 1

0
CCommunity
20 years

Age of C < Age of A < Age of B

From question,
A = C + x ....(i)
B = A + x ....(ii)

From equation (i) and (ii)
A - B = C - A
⇒ 2A = B + C
⇒ A = (B + C) / 2

Given that sum of the ages of B and C is 40 years.
So, A = (B + C) / 2 = 40/2 = 20 Years