Question

The average weight of Rupesh, Mandar and Ketan is 45 kg. If the average weight of Rupesh and Mandar be 43 kg and that of Mandar and Ketan be 45 kg, then the weight of Mandar (in kg) is:

• A. 56
• B. 41
• C. 61
• D. 51

Answer 1

Answer:

B. 41

Let weights be:

• Rupesh = (R)

• Mandar = (M)

• Ketan = (K)

Given:

1. $(\frac{R+M+K}{3} = 45)$
   
   R+M+K = 135
   

2. (\frac{R+M}{2} = 43)
   $R+M = 86$
   

3. $(\frac{M+K}{2} = 45)$
   
   M+K = 90
   

   Find K

From (1) and (2):
K = 135 - 86 = 49

Find M

From (3):
M + 49 = 90
M = 41

Final Answer: 41 kg