Question

The average weight of Anwar, Amit and Gopal is 45 kg. If the average weight of Anwar and Amit be 43 kg and that of Amit and Gopal be 42 kg, then the weight of Amit (in kg) is:

• A. 35
• B. 45
• C. 55
• D. 50

Answer 1

Answer:

A. 35

Step 1: Use the given averages

1. Average of Anwar, Amit, Gopal = 45
   $\Rightarrow A + M + G = 45 \times 3 = 135$

2. Average of Anwar and Amit = 43
   $\Rightarrow A + M = 43 \times 2 = 86$

3. Average of Amit and Gopal = 42
   $\Rightarrow M + G = 42 \times 2 = 84$

   Step 2: Find Amit’s weight

Add equations (2) and (3):

$(A + M) + (M + G) = 86 + 84$
$A + 2M + G = 170$
But from step 1:
$A + M + G = 135$

Subtract:
$(A + 2M + G) - (A + M + G) = 170 - 135$
$M = 35$

Amit’s weight = 35 kg