AchyuthReddy wrote:

The average of p.q and 40 is 20 more than the average of p, q, 40 and 60. What is the average of p and q?

A)95

B)190

C)220

D)240

E)380

We can create the equation:

(p + q + 40)/3 = 20 + (p + q + 40 + 60)/4

(p + q + 40)/3 = 20 + (p + q + 100)/4

Multiplying the equation by 12, we have:

4(p + q + 40) = 240 + 3(p + q + 100)

4p + 4q + 160 = 240 + 3p + 3q + 300

p + q = 380

Thus, the average p and q is 380/2 = 190.

Answer: B

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