A number x is even if x = 2n for some whole number n. A number x is odd if x = 2n+1 for some whole number n. (questions 1 - 3 from attached picture)

1. even1 + even2 = 2a + 2b = 2(a+b)
a+b is something from hint
2. odd1 + odd2 = 2a+1 + 2b+1
= 2(a+b) + 2 = 2(a+b+1)
a+b+1 is something from hint
3. odd + even = 2a+1 + 2b
= 2(a+b) + 1
a+b is something from hint