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. What is the weight of A?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 75 kg
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Understanding |
Application |
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The average weight of 3 men A, B and C is 84 Kg. |
So, Total weight of A, B and C = 84 × 3 = 252 kg |
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Another man D joins the group and the average now becomes 80 Kg. |
So, Total weight of A, B, C and D = 80 × 4 = 320 kg So, Weight of D = 320 – 252 = 68 kg |
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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. |
Weight of E = 68 + 3 = 71 kg And Total weight of B, C, D and E = 79 × 4 = 316 kg So, Weight of B and C = 316 – (68 + 71) = 177 kg |
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Hence, Weight of A = 252 – 177 = 75 kg |