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The average age of 5 persons named P, Q, R, S and T is 80 yrs. The average age of P and Q is 70 yrs. and average age of R and S is 84 yrs. Then, what is the age of T?

The average age of 5 persons named P, Q, R, S and T is 80 yrs. The average age of P and Q is 70 yrs. and average age of R and S is 84 yrs. Then, what is the age of T? Correct Answer 92 years

Given:

Average age of P, Q, R, S and T = 80yrs.

Average age of P and Q = 70yrs.

Average age of R and S = 84 yrs.

Calculation:

Average age of P, Q, R, S and T = 80yrs

Sum of the age of P + Q + R + S + T = 80 × 5 = 400 yrs.

Sum of the age of P + Q = 70 × 2 = 140 yrs.

Sum of the age of R + S = 84 × 2 = 168 yrs.

Now, age of T = (P + Q + R + S + T) –

⇒ Age of T = 400 – (140 + 168)

⇒ Age of T = 92yrs

∴ Age of T is 92 years

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