The average weight of Mohan, Mohammad and Ashish is 45 kg. If the average weight of Mohan and Mohammad be 43 kg and that of Mohammad and Ashish be 46 kg, then the weight of Mohammad (in kg) is:

Correct option is C

Given:

Average of Mohan(M) + Mohammad(Mh) + Ashish(A) = 45 kg

Average of Mohan(M) + Mohammad(Mh) = 43 kg

Average of Mohammad(M) + Ashish(Mh) = 46 kg

Solution:

M + Mh + A = 3 × 45= 135 kg .........(1)

M + Mh = 2 × 43 = 86 kg .........(2)

Mh + A = 2 × 46 = 92 kg ..........(3)

Subtract the second equation from the first:

(M + Mh + A) - (M + Mh) = 135 - 86

A = 49 kg

Substitute, A = 49 into the third equation:

Mh + 49 = 92

Mh = 92 - 49 = 43 kg

Thus, the weight of Mohammad is 43 kg.