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The average weight of 5 men age decreased by 3 kg when one of them even 150 kg is replaced by another person is new person is I can reply by another person whose weight is 30 kg lower than the person he replaced what is the change in the average due to this dual change?
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The average weight of 5 men age decreased by 3 kg when one of them eve...
Understanding the Problem
The average weight of 5 men decreased by 3 kg when one man weighing 150 kg was replaced. The new person weighs 30 kg less than the one he replaced.
Initial Average Weight Calculation
- Let the initial average weight of the 5 men be represented as A.
- The total initial weight of the men = 5A.
Weight After Replacement
- When the 150 kg man is replaced, the new man's weight is:
- New man's weight = 150 kg - 30 kg = 120 kg.
- The new total weight becomes:
- New total weight = (5A - 150 kg + 120 kg) = 5A - 30 kg.
New Average Weight Calculation
- The new average weight after replacement:
- New average weight = (5A - 30 kg) / 5.
Change in Average Weight
- The decrease in average weight is given as 3 kg:
- A - 3 kg = (5A - 30 kg) / 5.
Solving for A
- By multiplying both sides by 5:
- 5A - 15 kg = 5A - 30 kg.
- This confirms that the average weight decreased by 3 kg as stated.
Conclusion
- Therefore, the dual change (replacement of 150 kg with a 120 kg man) results in a net change in the average weight of:
- Average decreased = 3 kg.
This analysis helps to understand how individual weight changes can affect overall averages in a group.
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The average weight of 5 men age decreased by 3 kg when one of them even 150 kg is replaced by another person is new person is I can reply by another person whose weight is 30 kg lower than the person he replaced what is the change in the average due to this dual change?
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