Mr. D. O. Nutt brought a baker’s dozen, or 13, pastries to the math department meeting. Everyone ate at least 1 pastry, some (not all) had 2, and one person had 3. What are the possible numbers of people who could be in the department?

Answer 1

13 - 3 = 10 for (n-1) people
10 - 2 = 8 for (n-2) people if one has 2
so if (n -2) people eat 1 each, then n-2 = 8 and there are max of 10 people
but (n-2) people might eat 2 each so in that case there would only be 4 of them and n - 2 = 4 so n = 6
so
6 min and 8 max but 7 is hard unless you cut a pastry in half

Answer 2

The sum of two numbers 43 and their difference is 35.find the numbers.