The average weight of Shubha, Govlnda and Reshma is 65 kg. If the average weight of Shubha and Govinda be 63 kg and that of Govlnda and Reshma be 70 kg, then the weight of Govlnda is:

Options

A. 41 kg
B. 71 kg
C. 88 kg
D. 46 kg

Answer

To solve the problem step by step, we will denote the weights of Shubha, Govinda, and Reshma as S, G, and R respectively.

### Step 1: Write the equations based on the averages given in the problem.
1. The average weight of Shubha, Govinda, and Reshma is 65 kg.
\[ \frac{S + G + R}{3} = 65 \]
Multiplying both sides by 3 gives:
\[ S + G + R = 195 \quad \text{(Equation 1)} \]

2. The average weight of Shubha and Govinda is 63 kg.
\[ \frac{S + G}{2} = 63 \]
Multiplying both sides by 2 gives:
\[ S + G = 126 \quad \text{(Equation 2)} \]

3. The average weight of Govinda and Reshma is 70 kg.
\[ \frac{G + R}{2} = 70 \]
Multiplying both sides by 2 gives:
\[ G + R = 140 \quad \text{(Equation 3)} \]

### Step 2: Use the equations to find the weight of Govinda.
Now we have three equations:
1. \( S + G + R = 195 \) (Equation 1)
2. \( S + G = 126 \) (Equation 2)
3. \( G + R = 140 \) (Equation 3)

### Step 3: Find the weight of Reshma (R).
We can subtract Equation 2 from Equation 1 to find R:
\[ (S + G + R) - (S + G) = 195 - 126 \]
This simplifies to:
\[ R = 69 \quad \text{(Weight of Reshma)} \]

### Step 4: Substitute the value of R into Equation 3 to find G.
Now, substitute R into Equation 3:
\[ G + R = 140 \]
Substituting R:
\[ G + 69 = 140 \]
Solving for G gives:
\[ G = 140 - 69 \]
\[ G = 71 \quad \text{(Weight of Govinda)} \]

### Final Answer:
The weight of Govinda is **71 kg**.

---