Question

The average weight of Kiran, Mahesh and Ram is 46 kg. If the average weight of Kiran and Mahesh be 40 kg and that of Mahesh and Ram be 47 kg, then the weight of Mahesh (in kg) is:

• A. 56
• B. 51
• C. 36
• D. 46

Answer 1

Answer:

C. 36

Let the weights be:
Kiran = K, Mahesh = M, Ram = R

From the given data:

1. $( \frac{K + M + R}{3} = 46 \Rightarrow K + M + R = 138 )$

2. $( \frac{K + M}{2} = 40 \Rightarrow K + M = 80 )$

3. $( \frac{M + R}{2} = 47 \Rightarrow M + R = 94 )$

Now add (2) and (3):
$(K + M) + (M + R) = 80 + 94 = 174$

$K + 2M + R = 174$

Subtract (1):
$(K + 2M + R) - (K + M + R) = 174 - 138$

M = 36
Answer: 36 kg