Question : The average weight of Group A and Group B is 12 kg and 24 kg, respectively. The ratio of the members in group A to group B is 1 : 2. Find the combined average of both groups.
Option 1: 16 kg
Option 2: 22 kg
Option 3: 20 kg
Option 4: 18 kg
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Correct Answer: 20 kg
Solution :
Let the members in group A and group B be $x$ and 2$x$ respectively.
So, weighted average = $\frac{\text{Sum of weights of each group}}{\text{Total number of members}}$ = $\frac{12 \times x+24 \times 2x}{x+2x} = \frac{12 + 48}{3} = 20$
Hence, the correct answer is 20 kg.
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