Answer:
<em>20 + 16 = 36</em>
Step-by-step explanation:
The conjecture: "The sum of two positive even integers is always an odd integer" can be easily be proven false with a counterexample.
Pick A=20 and B=16, both are positive even integers.
The sum of both A + B = 36 is an even integer. This is a counterexample because being even is the contrary of being odd.
Counterexample: 20 + 16 = 36
In fact, the conjecture is always false, since there cannot be found any pair of positive integers whose sum is odd.
Other possible counterexamples are:
10 + 8, 700 + 40, 12 + 14, etc.
