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The average weight of 3 men A, B and C is 84 kg. Another man D joins the group and the average now becomes 80 kg. If another man E whose weight is 3 kg more than that of D, replaces A, then the average weight of B, C, D and E becomes 79 kg. Find the weight of A.
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- 72 kg
- 74 kg
- 75 kg
- 76 kg
- 72 kg
Correct Option: C
According to question,
Total weight of (A + B + C) = 84 × 3 = 252 kg.
Total weight of (A + B + C + D) = 4 × 80 = 320 kg.
∴ Weight of D = 320 – 252 = 68 kg.
∴ Weight of E = 68 + 3 = 71 kg.
∴ (B + C + D + E)’s weight = 79 × 4 = 316 kg.
Now, A - E = (A + B + C + D) – (B + C + D + E)
⇒ A - E = 320 – 316 = 4 kg.
⇒ A = 4 + E = 4 + 71 = 75 kg.
Hence, weight of A = 75 kg
