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What is average weight of the three new ...

What is average weight of the three new team members who are recently included in te team ?
(i) The average weight of the team increases by 20 kg.
(ii) The three new men substitute eariler members whose weight are 64 kg, 75kg and 66 kg

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The correct Answer is:
To find the average weight of the three new team members, let's analyze the information provided in the statements step by step. ### Step 1: Understand the problem We need to find the average weight of three new team members. We have two statements that may provide information to solve this problem. ### Step 2: Analyze Statement (i) **Statement (i):** The average weight of the team increases by 20 kg. - This statement tells us that the average weight of the team has increased, but it does not provide any specific information about the initial average weight or the number of members in the team. - Without knowing the initial average weight or the total number of members, we cannot determine the total weight of the team or the weight of the new members. **Conclusion from Statement (i):** This statement alone is insufficient to answer the question. ### Step 3: Analyze Statement (ii) **Statement (ii):** The three new men substitute earlier members whose weights are 64 kg, 75 kg, and 66 kg. - First, we calculate the total weight of the three earlier members: \[ \text{Total weight of earlier members} = 64 + 75 + 66 = 205 \text{ kg} \] - This statement tells us that the new members are replacing these three members, but it does not provide any information about the weights of the new members. - Therefore, we cannot determine the average weight of the new members just from this statement. **Conclusion from Statement (ii):** This statement alone is also insufficient to answer the question. ### Step 4: Combine Statements (i) and (ii) - Statement (i) tells us that the average weight of the team has increased by 20 kg, but we do not know the initial average or the total weight of the team. - Statement (ii) provides the total weight of the three members being replaced but does not give us the weights of the new members. **Conclusion from Combining Statements:** Even when combined, we still do not have enough information to determine the average weight of the new members. ### Final Conclusion Based on the analysis of both statements, we conclude that neither statement alone nor the combination of both statements provides sufficient information to determine the average weight of the three new team members.
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