There are no two consecutive integers that add up to 72. You can prove it this way:
Let our numbers be represented by the variables "a" and "b". We are told:
a = b + 1
a + b = 72
So we can use substitution to solve for either variable:
(b + 1) + b = 72
2b + 1 = 72
2b = 71
b = 35.5
But 35.5 is not an integer, so this condition can not be met.
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