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The average weight of 12 people gets increased by 3.5kg when a person weighs 56 kg got replaced by another man. Find the weight of the new man
- a)90kg
- b)92kg
- c)96kg
- d)98kg
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The average weight of 12 people gets increased by 3.5kg when a person ...
Let the weight of new man is x kg.
(12p – 56 + x)/12 = p + 3.5 [12p is the total weight of 12 people] X = 98kg
Most Upvoted Answer
The average weight of 12 people gets increased by 3.5kg when a person ...
Answer – 4.98kg Explanation : Let the weight of new man is x kg. (12p – 56 + x)/12 = p + 3.5 [12p is the total weight of 12 people] X = 98kg
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Community Answer
The average weight of 12 people gets increased by 3.5kg when a person ...
Given:
- The average weight of 12 people increased by 3.5 kg when a person weighing 56 kg was replaced by another man.
- Let the weight of the new man be x kg.
To find: The weight of the new man.
Solution:
1. We can start by finding the total weight of the 12 people before the replacement. Let the sum of their weights be S1.
2. Then, we can find the total weight of the 12 people after the replacement. Let the sum of their weights be S2.
3. We know that the average weight increased by 3.5 kg, so we can set up an equation:
(S1 - 56 + x) / 12 = (S1 / 12) + 3.5
4. Simplifying this equation, we get:
S1 - 56 + x = S1 + 42
5. Solving for x, we get:
x = 98 kg
Therefore, the weight of the new man is 98 kg (option D).
- The average weight of 12 people increased by 3.5 kg when a person weighing 56 kg was replaced by another man.
- Let the weight of the new man be x kg.
To find: The weight of the new man.
Solution:
1. We can start by finding the total weight of the 12 people before the replacement. Let the sum of their weights be S1.
2. Then, we can find the total weight of the 12 people after the replacement. Let the sum of their weights be S2.
3. We know that the average weight increased by 3.5 kg, so we can set up an equation:
(S1 - 56 + x) / 12 = (S1 / 12) + 3.5
4. Simplifying this equation, we get:
S1 - 56 + x = S1 + 42
5. Solving for x, we get:
x = 98 kg
Therefore, the weight of the new man is 98 kg (option D).
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