Question:
The average weight of a group of five friends is 52 kg. Another friend joined the group and the average weight of the group increased by 1.5 kg. What is the weight of the new member of the group?
The average weight of a group of five friends is 52 kg. Another friend joined the group and the average weight of the group increased by 1.5 kg. What is the weight of the new member of the group?
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To solve average-related problems, calculate the total weight using the given average, then subtract the initial total weight to find the weight of the new member.
Updated On: Feb 16, 2025
- 57 kg
- 38 kg
- 60 kg
- 61 kg
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The Correct Option is D
Solution and Explanation
Let the total weight of the 5 friends be \( 5 \times 52 = 260 \) kg.
When the new friend joins the group, the average weight increases by 1.5 kg, making the new average weight:
\[
52 + 1.5 = 53.5 \, \text{kg}
\]
Thus, the total weight of the 6 friends is:
\[
6 \times 53.5 = 321 \, \text{kg}
\]
The weight of the new friend is the difference between the total weight of the 6 friends and the total weight of the 5 friends:
\[
321 - 260 = 61 \, \text{kg}
\]
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