Answer to Question #254171 in Combinatorics | Number Theory for migs

Question

Find a pair of numbers that provide a counterexample to show that

the given statement is false.

(a) If the sum of two counting numbers is an even counting number, then the product of the two counting numbers is an even

counting number.

(b) If the product of two counting numbers is an even counting

number, then both of the counting numbers are even counting

numbers.

Answer 1

a)

for example:

$3+5=8$

$3\cdot5=15$

b)

for example:

$3\cdot4=12$