If the number of hats sold by A on Friday is increased by $\frac{1}{7}$ of the original number, what will be the average number of hats sold by A on Monday, Wednesday, and Friday?

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**Solution:**

1. The original number of hats sold by A on Friday is given as 56.

2. The increase is $\frac{1}{7}$ of 56, so the new number of hats sold on Friday becomes:
   
   $$56 + \frac{1}{7} \times 56 = 56 \times \left(1 + \frac{1}{7}\right) = 56 \times \frac{8}{7} = 64$$

3. The number of hats sold on Monday and Wednesday are 46 and 64 respectively (Wednesday assumed same as Friday after increase).

4. Calculate the average hats sold on Monday, Wednesday, and Friday:

$$\text{Average} = \frac{46 + 64 + 64}{3} = \frac{174}{3} = 58$$

**Answer:** 58

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