SOLUTION: find the smallest distinct positive numbers that provide a counterexample to show that the statement is false. When an even number is added to the product of two numbers, the re

Question 1101863: find the smallest distinct positive numbers that provide a counterexample to show that the statement is false.
When an even number is added to the product of two numbers, the result will be even.

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

If either of the two numbers in the product is even, then the product will be even; then adding an even number will result in an even number.

Since you want the result NOT to be even, both of the numbers in the product must be odd.

The smallest example is (1*1)+2 = 3.
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