SOLUTION: the sum of two consecutive integers is 181 Find the smaller integer.

Question 316533: the sum of two consecutive integers is 181 Find the smaller integer.
Answer by moshiz08(60) (Show Source): You can put this solution on YOUR website!
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.
That is, .
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.
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