Question : The sum of weights of A and B is 80 kg. 50% of A's weight is $\frac{5}{6}$ times the weight of B. Find the difference between their weights.
Option 1: 20 kg
Option 2: 10 kg
Option 3: 25 kg
Option 4: 15 kg
Correct Answer: 20 kg
Solution :
Given: The sum of weights of A and B is 80 kg.
50% of A's weight is $\frac{5}{6}$ times the weight of B.
According to the question,
A + B = 80
$A \times \frac{1}{2}=B \times \frac{5}{6}$
⇒ $\frac{A}{B}=\frac{5}{3}$
The weight of 8 units = 80 kg.
The weight of 1 unit = $\frac{80}{8}$ = 10 kg.
The difference between their weights = 5 units – 3 units = 2 units = 20 kg.
Hence, the correct answer is 20 kg.
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