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

Answer 1

Answer:

B. 28

Let the weights of Ashish, Kiran, and Mahesh be A, K, M respectively.

Given:
Average of A, K, M = 46
→ $( A + K + M = 3 \times 46 = 138 )$

Average of A and K = 40
→ $( A + K = 2 \times 40 = 80 )$

Average of K and M = 43
→ $( K + M = 2 \times 43 = 86 )$

Now add the last two equations:
$( (A + K) + (K + M) = 80 + 86 = 166 )$
→ ( A + M + 2K = 166 )

But we know:
( A + K + M = 138 )

Subtract:
( (A + M + 2K) - (A + K + M) = 166 - 138 )
→ ( K = 28 )

Final Answer: 28 kg