A family has two children along with their parents. The average of the weights of the children and their mother is 50 kg. The average of the weights of the children and their father is 52 kg. If the weight of the father is 60 kg, then what is the weight of the mother?
- A48kg
- B50kg
- C52kg
- D54kgCorrect
Explanation
To find the weight of the mother, we can use the concept of total weight based on the given averages.
First, calculate the total weight of the two children and the father. Since their average weight is 52 kg for 3 people, their total weight is 52 multiplied by 3, which equals 156 kg.
We know the father weighs 60 kg. By subtracting the father weight from the total, we find the combined weight of the two children: 156 minus 60 equals 96 kg.
Next, use the average for the children and the mother. Their average weight is 50 kg for 3 people, so their total weight is 50 multiplied by 3, which equals 150 kg.
Finally, to find the mother weight, subtract the children combined weight from this total: 150 minus 96 equals 54 kg.
Therefore, the weight of the mother is 54 kg. The correct option is D.
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