If the average of P numbers is Q2 and that of Q numbers is P2, then the average of (P + Q) numbers -

Question: If the average of P numbers is Q2 and that of Q numbers is P2, then the average of (P + Q) numbers - Solultion:Sum of P numbers = PQ2Sum of Q numbers = QP2∴ Sum of P and sum of Q numbers = PQ2 + QP2= PQ(P + Q)∴ Average of (P + Q) numbers = PQ(P + Q)/(P + Q)= PQ