You can
put this solution on YOUR website!Usually, for problems with consecutive odd numbers, it is enough to call them n and n+2, and the same goes with consecutive even numbers.
In this case, we have to express the numbers in a way that shows they are odd.
To specify that a number is even, we can call it
and specify that m is a positive integer, so the even number could be 2, 4, 6, etc.
The numbers right before and right after an even number are consecutive odd integers, so we will use
and
as our consecutive odd integers.
Any pair of consecutive odd integers can be expressed as
and
.
For any pair of consecutive odd integers we can find their m by calculating their average (the even number between them) and dividing by 2.
The product of
and
is
Since
was a positive integer,
is a positive integer and
is a multiple of 4.
is one less than
, so it is 1 less than a multiple of 4.
