Subject
Quantitative Aptitude
Topic
Average
The average weight of three 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, replace A, then the average weight of B, C, D and E becomes 79 kg. The weight of A is:
The average weight of three 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, replace A, then the average weight of B, C, D and E becomes 79 kg. The weight of A is:
ক)
70 kgখ)
72 kgগ)
75 kgঘ)
80 kgঙ)
78 kgExplanation
Let the weight of A be x kg. Total weight of A, B and C = 84 × 3 = 252 kg When D joins them, total weight of A, B, C and D = 80 × 4 = 320 kg Thus, weight of D = 320 – 252 = 68 kg Given: weight of E = weight of D + 3 kg = (68 + 3) kg = 71 kg Total weight of B, C, D and E = 79 × 4 = 316 kg Therefore, 320 – x + 71 = 316 ⇒391 – x = 316 ∴ x = 75 Thus, weight of A = 75 kg.Related questions
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