Question

The average weight of A, B, and C is 55 kg. The weight of C is 10 kg more than A and 5 kg more than B. The average weight of A, B, C, and D, if D's weight is 19 kg more than C, is:

• A. 62 kg
• B. 61 kg
• C. 60 kg
• D. 58 kg

Answer 1

Answer:

B. 61 kg

Solution: Given: The average weight of A, B, and C = 55kg C is 10 kg more than A C is 5 kg more than B D is 19 kg more than C Formula Used: Average = Total sum of subjects/Number of Subjects Calculation: ∴ A + B + C /3 = 55 ∴ A + B + C = 165 ------(1) We have given C = A +10 ∴ A = C - 10 and C = B + 5 ∴ B = C – 5 Putting values of A and B in equation (1) (C – 10) + (C – 5) + C = 165 ⇒ 3C - 15 = 165 ⇒ 3C = 180 ⇒ C = 180/3 = 60 D = C + 19 = 60 + 19 = 79 Average of A, B, C, and D = A + B + C + D/4 ⇒ (165 + 79) /4 ⇒ 244/4 = 61kg.