Multiple choice

The average weight of P, Q, R is 40 kg. when S joins them the average becomes 44 kg. If another student T, who is 3 kg. more then S joins them, the average of 4 student Q, R, S and T becomes 43 kg. Find the weight of P?

  1. 70

  2. 67

  3. 65

  4. 63

  5. 61
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D Correct answer
Explanation

Average of P, Q, R is 40, so P+Q+R = 120. When S joins, average becomes 44 for 4 people, so P+Q+R+S = 176. Subtracting gives S = 56 kg. T is 3 kg more than S, so T = 59 kg. Average of Q, R, S, T is 43, so Q+R+56+59 = 172, giving Q+R = 57. From P+Q+R = 120, we get P = 120 - 57 = 63 kg.

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