Question

The average weight of Mahesh, Ram and Anwar is 46 kg. If the average weight of Mahesh and Ram be 39 kg and that of Ram and Anwar be 49 kg, then the weight of Ram (in kg) is:

• A. 53
• B. 58
• C. 38
• D. 48

Answer 1

Answer:

C. 38

Let the weights of Mahesh (M), Ram (R), and Anwar (A) be M, R, and A.

Step 1: Form equations from given averages

(1) Average of M, R, A = 46

$\frac{M + R + A}{3} = 46$
M + R + A = 138
(2) Average of M and R = 39

$\frac{M + R}{2} = 39$
M + R = 78
(3) Average of R and A = 49

$\frac{R + A}{2} = 49$
R + A = 98

Step 2: Add equations (2) and (3)

$(M + R) + (R + A) = 78 + 98$

M + 2R + A = 176

Step 3: Subtract equation (1)

$(M + 2R + A) - (M + R + A) = 176 - 138$
R = 38

Final Answer: Ram’s weight = 38 kg