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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.
Question

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.

A.

29 years

B.

25 years

C.

26 years

D.

28 years

Correct option is C

Given:
Average age of A, B and C = 20 years
Concept  Used:
Average: The average of a group of numbers is the sum of the numbers divided by the number of elements in the group.
Algebraic Equations: Formulating and solving equations based on the given conditions.
Solution:
As per the question;
Average age of A, B and C = 20 years
Sum of present ages of A, B and C = 20 × 3 = 60 years
Sum of ages of A, B and C, 2 years ago = 60 – 2 × 3 = 54 years
2 years Ago, sum of ages of A and B is 6 years more than that of C.
Now, age of C before 2 years = (54 - 6)/2 = 24 years
So,
Present age of C = 24 + 2 = 26 years.

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