Arjun weighs twice as Surbhi and Sejal weighs 5 kg less than Arjun . If the total weight of Arjun , Surbhi and Sejal is 63 kg , then find the total weight of Sejal and Arjun .

Options

A. `54.2` kg
B. 47 kg
C. `49.4` kg
D. `62.4` kg

Answer

To solve the problem step by step, let's denote the weights of Arjun, Surbhi, and Sejal as follows:

- Let the weight of Surbhi be \( S \) kg.
- Since Arjun weighs twice as Surbhi, we can express Arjun's weight as \( A = 2S \) kg.
- Sejal weighs 5 kg less than Arjun, so we can express Sejal's weight as \( J = A - 5 = 2S - 5 \) kg.

Now, according to the problem, the total weight of Arjun, Surbhi, and Sejal is 63 kg. Therefore, we can write the equation:

\[ A + S + J = 63 \]

Substituting the expressions for \( A \) and \( J \) into the equation, we get:

\[ (2S) + S + (2S - 5) = 63 \]

Now, let's simplify this equation:

1. Combine like terms:
\[ 2S + S + 2S - 5 = 63 \]
\[ 5S - 5 = 63 \]

2. Add 5 to both sides:
\[ 5S = 63 + 5 \]
\[ 5S = 68 \]

3. Divide both sides by 5 to find \( S \):
\[ S = \frac{68}{5} = 13.6 \text{ kg} \]

Now that we have Surbhi's weight, we can find Arjun's weight:

\[ A = 2S = 2 \times 13.6 = 27.2 \text{ kg} \]

Next, we find Sejal's weight:

\[ J = A - 5 = 27.2 - 5 = 22.2 \text{ kg} \]

Now, we need to find the total weight of Sejal and Arjun:

\[ \text{Total weight of Sejal and Arjun} = J + A = 22.2 + 27.2 = 49.4 \text{ kg} \]

Thus, the total weight of Sejal and Arjun is **49.4 kg**.