Discussion of Question with ID = 054 under Averages

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Question

If the average of p and q is 38, the average of q and r is 56, and of r and p is 72, then what is the value of p?

A

54.

B

55.

C

53.

D

56.

Soln.
Ans: a

We have three equations (p + q)/2 = average of pq, (q + r)/2 = average of qr and (r + p)/2 = average of rp. Adding these three we get p + q + r = (average of pq + average of qr + average of rp) = (38 + 56 + 72) = 166. So p = 166 - (q + r) = 166 - (2 × average of q and r) = 166 - 2 × 56 = 54.


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