Francis makes two square pans of cornbread. He cuts one pan into 13 more pieces than the other pan. How many equal-size squares of cornbread does he cut in each pan?

Answer: 6 and 7

Step-by-step explanation:

The first thing to do is to have square numbers starting from 1 and multiply them. For example

1 x 1 = 1

2 x 2 = 4

3 x 3 = 9

4 * 4 = 16

5 * 5 = 25

6 * 6 = 36

7 * 7 = 49

8 * 8 = 64

Then, we look for the squares that when we subtract the smallest from the biggest we have 13.

From the analysis above, the numbers are 49 and 36 as 49-36 = 13.

Hence 6 and 7 are the numbers as the squares of 6 and 7 are 36 and 49 respectively