Answer:
Two integers can only add to become another integer. The greatest integer less than
83
is
82
.
However, you can't have two consecutive integers adding up to give an even number, so we're going to have to pick the greatest odd number that's smaller than
83
, which is of course
81
.
So we are looking for two consecutive integers that add up to
81
. We are looking for a number
a
and the number after it
a+1
.
To do this, we can add them and set them equal to
83
.
a+(a+1)=
83
2a=82a=41
(a+1)=42
41+42=83
And that is good information, by we are looking for the biggest odd number that's smaller than
83
so we can subtract
1
from both numbers.
(a−1)=40a=41
40+41=81
