The weight of Rajesh is 5 kg less than Ram's weight and weight of Neha is 3 kg more than Ram's weight. If the total weight of three is 103 kg, then weight of Ram is:

Options

A. 34 kg
B. 38 kg
C. 33 kg
D. 35 kg

Answer

To find the weight of Ram, we can follow these steps:

### Step 1: Define the variables
Let Ram's weight be represented as \( X \).

### Step 2: Express Rajesh's weight in terms of Ram's weight
Since Rajesh's weight is 5 kg less than Ram's weight, we can express Rajesh's weight as:
\[ \text{Rajesh's weight} = X - 5 \]

### Step 3: Express Neha's weight in terms of Ram's weight
Neha's weight is 3 kg more than Ram's weight, so we can express Neha's weight as:
\[ \text{Neha's weight} = X + 3 \]

### Step 4: Set up the equation for total weight
According to the problem, the total weight of Rajesh, Ram, and Neha is 103 kg. Therefore, we can set up the equation:
\[ \text{Ram's weight} + \text{Rajesh's weight} + \text{Neha's weight} = 103 \]
Substituting the expressions we have:
\[ X + (X - 5) + (X + 3) = 103 \]

### Step 5: Simplify the equation
Now, we simplify the left side:
\[ X + X - 5 + X + 3 = 103 \]
Combining like terms:
\[ 3X - 2 = 103 \]

### Step 6: Solve for \( X \)
To isolate \( X \), first add 2 to both sides:
\[ 3X = 103 + 2 \]
\[ 3X = 105 \]
Now, divide both sides by 3:
\[ X = \frac{105}{3} \]
\[ X = 35 \]

### Conclusion
Thus, the weight of Ram is:
\[ \text{Weight of Ram} = 35 \text{ kg} \]

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