Question

If the sum of weights of Ayush and Rahul is $262$ and the sum of weights of Gopi and Mohit is $426$, then what is the sum of weights of Rahul and Mohit?

• A. 343
• B. 340
• C. 330
• D. 300

Hint:

When a sum of weights is provided, isolate known values and subtract accordingly to find the unknown values. Once the individual weights are known, you can easily calculate any pair sum.

Answer 1

The Correct Option is C

1. Given Information: - The sum of weights of Ayush and Rahul: \(Y + R = 262\) - The sum of weights of Gopi and Mohit: \(G + M = 426\) 2. Determine Rahul’s Weight: - The weight of the lightest person is given as \(128\) kg (Ayush), and we know that the second heaviest person is \(Gopi\) with \(230\) kg. - From the provided data, \(Y + R = 262\), Ayush being the lightest (\(128\) kg), we can find Rahul’s weight: \[ R = 262 - 128 = 134 \text{ kg}. \] 3. Determine Mohit’s Weight: - The sum of Gopi and Mohit is given as \(G + M = 426\), and we know that Gopi weighs \(230\) kg: \[ M = 426 - 230 = 196 \text{ kg}. \] 4. Finding the Sum of Rahul and Mohit: Now, adding the weights of Rahul and Mohit: \[ R + M = 134 + 196 = 330 \text{ kg}. \] Thus, the sum of the weights of Rahul and Mohit is \(\boxed{330}\).