Correct option is C
Weights of Friends: A, B, C, and D
This document explains the weights of four friends: A, B, C, and D, based on given relationships.
Weight Relationships
1. Let the weight of B be x kg.
2. A is twice as heavy as B: A = 2x.
3. C is half of B's weight: C = x / 2.
4. D is 60 kg more than B: D = x + 60.
5. D is also 60 kg less than A: D = 2x - 60.
Setting Up the Equations
From the equation for D:
x + 60 = 2x - 60
Solving for x
Rearranging gives:
60 + 60 = 2x - x
120 = x
Calculating the Weights
1. Weight of B: B = x = 120 kg
2. Weight of A: A = 2x = 240 kg
3. Weight of C: C = x / 2 = 60 kg
4. Weight of D: D = x + 60 = 180 kg
Comparing Weights
A = 240 kg
B = 120 kg
C = 60 kg
D = 180 kg
Conclusion
A is the heaviest among the friends.