The average weight of 3 women is increased by 4 kg, when one of them whose weight is 102 kg, is replaced by another woman. What is the weight of the new woman?
114 kg
When the average of a group of n members changes by k after replacing one member, the total weight changes by n × k.
Here n = 3 and the average rises by 4 kg, so the total weight increases by 3 × 4 = 12 kg.
The woman replaced weighed 102 kg, so the new woman must weigh 102 + 12 = 114 kg.
Hence, the correct answer is 114 kg.
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