Question : The average weight of A, B, and C is 45 kg. If the average weight of A and B is 40 kg and that of B and C is 43 kg, then the weight (in kg) of B is:
Option 1: 20
Option 2: 26
Option 3: 31
Option 4: 17
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Correct Answer: 31
Solution : Sum of the average weights of A, B and C = (A + B+ C) = 45 × 3 = 135 Kg (equation 1) Sum of the average weights of A and B = (A + B) = 40 × 2 = 80 Kg (equation 2) Sum of the average weights of B and C = (B + C) = 43 × 2 = 86 Kg (equation 3) Adding equation 2 and equation 3, we get, A + B + B + C = 80 + 86 Since, A + B + C = 135 ⇒ 135 + B = 166 $\therefore$ B = 31 Kg Hence, the correct answer is 31 kg.
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Question : There are 15 students in a class. Their average weight is 40 kg. When one student leaves the class, the average weight is 39.5 kg. What is the weight of the student who left the class (where kg means kilogram)?
Question : In a class of 60 students, 20 are girls. The average weight of the boys in the class is 40 kg, while that of all the girls is 35 kg. What is the average weight (in kg) of the entire class (correct to two decimal places)?
Question : The average of a, b, and c is 20, and that of b, c, and d is 25. If d = 30, then the value of a is:
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