Question : The average weight of a group of 3 people A. B and C is 70 kg. When D joins this group, the average becomes 60 kg. One man E, whose weight is 5 kg more than that of D, replaces A and the average weight of B, C, D, and E now becomes 59 kg. A's weight (in kg) is:
Option 1: 50
Option 2: 40
Option 3: 39
Option 4: 59
Correct Answer: 39
Solution : Let the weights of A, B, C, D, and E as a, b, c, d, and e respectively. From the problem, a + b + c = 210 -------------(1) a + b + c + d = 240 ----------------(2) e = d + 5 ------------------------(3) b + c + d + e = 236 -------------------------(4) Subtracting equation (1) from equation (2), ⇒ d = 30 Substituting "d = 30" into equation (3), ⇒ e = 35 Substituting d = 30 and e = 35 into equation (4), ⇒ b + c + 30 + 35 = 236 ⇒ b + c = 171 Substituting b + c = 171 into equation (1), ⇒ a + 171 = 210 ⇒ a = 39 Hence, the correct answer is 39.
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Question : The average weight of a group of 3 people A, B and C is 70 kg. When D joins this group, the average becomes 60 kg. A man E, whose weight is 5 kg more than that of D, replaces A and the average weight of B, C, D, and E now becomes 59 kg. What is the average weight (in kg) of A,
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