Average weight of 10 members increased 1.4 kg when a person who weighs 64 kg is replaced with a new member. Find the weight of the new member.

Given:
- There are 10 members.
- The average weight of the 10 members increased by 1.4 kg.
- One person weighing 64 kg is replaced with a new member.

To find:
- The weight of the new member.

Approach:
1. Calculate the total weight of the 10 members before the replacement.
2. Calculate the total weight of the 10 members after the replacement.
3. Find the difference in total weight before and after the replacement.
4. Calculate the weight of the new member based on the difference in total weight.

Calculation:

Step 1: Calculate the total weight of the 10 members before the replacement
- Let the average weight of the 10 members before the replacement be A kg.
- The total weight of the 10 members before the replacement = A * 10 kg.

Step 2: Calculate the total weight of the 10 members after the replacement
- Let the average weight of the 10 members after the replacement be B kg.
- The total weight of the 10 members after the replacement = B * 10 kg.

Step 3: Find the difference in total weight
- Difference in total weight = Total weight after replacement - Total weight before replacement
- Difference in total weight = (B * 10 kg) - (A * 10 kg)
- Difference in total weight = 10(B - A) kg

Step 4: Calculate the weight of the new member
- Given, the average weight increased by 1.4 kg.
- So, B - A = 1.4 kg.

- Substituting the value of B - A in the difference in total weight equation:
- Difference in total weight = 10 * 1.4 kg
- Difference in total weight = 14 kg

- Since the new member replaced a person weighing 64 kg, the weight of the new member is:
- Weight of the new member = Weight of the person replaced + Difference in total weight
- Weight of the new member = 64 kg + 14 kg
- Weight of the new member = 78 kg

Answer:
The weight of the new member is 78 kg.