# The sum of two consecutive positive integers and their product is #271#. What are the integers?

##### 2 Answers

Mar 18, 2017

#### Explanation:

then the next integer is

we have the sum equalling

=>x=270/2=135#

Mar 18, 2017

The two integers are

#### Explanation:

Suppose the lesser of the two integers is

Then we are given:

#n + (n+1) + n(n+1) = 271#

Multiplying out and simplifying the left hand side, this becomes:

#n^2+3n+1 = 271#

Subtracting

#0 = n^2+3n-270 = (n+18)(n-15)#

So

Discard

So