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The average weight of Ashish, Kiran and Mahesh is 46 kg. If the average weight of Ashish and Kiran be 40 kg and that of Kiran and Mahesh be 43 kg, the
Question

The average weight of Ashish, Kiran and Mahesh is 46 kg. If the average weight of Ashish and Kiran be 40 kg and that of Kiran and Mahesh be 43 kg, then the weight of Kiran (in kg) is:

A.

38

B.

28

C.

48

D.

43

Correct option is B

Given:
​Average weight of Ashish, Kiran and Mahesh = 46 kg
​Average weight of Ashish and Kiran = 40 kg
​Average weight of Kiran and Mahesh = 43 kg
Solution:
​Let the weights of Mahesh, Kiran, and Ashish be M, K, and A respectively.
M+K+A3=46=>M+K+A=138...(1) A+K2=40=>A+K=80...(2) K+M2=43=>K+M=86...(3)\frac{M + K + A}{3} = 46 \Rightarrow M + K + A = 138 \quad \text{...(1)} \\\ \\\frac{A+ K}{2} = 40 \Rightarrow A + K = 80 \quad \text{...(2)} \\\ \\\frac{K + M}{2} = 43 \Rightarrow K + M = 86 \quad \text{...(3)} \\\\ \\
​Weight of Kiran = (A + K) +(K + M) - (M + K + A) = 80 + 86 - 138 = 28 years

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