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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 then that of D, replaces A, then the average weight of B, C, D and E becomes 79 kg. Then weight of A is
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- 72 kg.
- 74 kg.
- 75 kg.
- 76 kg
- 72 kg.
Correct Option: C
D’s weight = 80 × 4 – 84 × 3
D’s weight = 320 – 252 = 68 kg.
E’s weight = 68 + 3 = 71 kg.
Total weight of (A + B + C + D + E) = 84 × 3 + 68 + 71
Total weight of (A + B + C + D + E) = 252 + 68 + 71 = 391 kg.
Total weight of (B + C + D + E) = 79 × 4 = 316 kg.
∴ A’s weight = Total weight of (A + B + C + D + E) - Total weight of (B + C + D + E)
A’s weight = 391 – 316 = 75 kg.
