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Consecutive integers are integers that follow each other in order. For example, 17 and 18 are consecutive integers. Also, 28 and 29 are consecutive integers.
In general, if we have an integer
, then the consecutive integer is
. In the example given earlier, when
, we get the consecutive integer
. Verify that the example
produces the consecutive integer of 29.
Now if we take an integer
and add its consecutive integer
, we should get 181.
Combining like terms gives
Subtract 1 from both sides to get
Now divide both sides by 2 to get
So our integer
and the consecutive integer
. The smaller integer is 90.