The average age of A, B and C is 20 years. Two years ago the sum of the ages of A and B was 6 more than that of C. Find the present age of C.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 26 years.
The average age of A, B, and C = 20
Total age of A,B, C = Average age × Number of people = 20 × 3 = 60
⇒ A + B + C = 60 ....(1
According to the question -
⇒ (A - 2) + (B - 2) = (C - 2) + 6
⇒ A + B = C - 2 + 6 + 2 + 2
⇒ A + B = C + 8 ...(2
Putting value of (A + B) from eq(2 in eq(1 -
⇒ C + 8 + C = 60
⇒ 2C = 52
C = 26 years