Question
The average height of two men P and Q is 167 cm.
Another man R Joins them and the average height of P, Q and R becomes 162 cm. If another man S whose height is 17 cm more than that of R replaces P, then the average height of Q, R and S becomes 157 cm. What is the height of P?Solution
Let us assume the height of the P be X P + Q = 167 × 2 = 334 ----(1) P + Q + R = 162 × 3 = 486 ----(2) The height of the R = 486 - 334 = 152 cm The height of the S = 152 + 17 = 169 cm Q + R + S = 157 × 3 = 471 ----(3) The height of the Q = 471 - 152 - 169 = 471 - 321 = 150 cm The height of the P = X = 334 - 150 = 184 cm
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