Two consecutive integers have a sum of 43. How do you find the integers?

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Answer 1 · 2016-10-21T09:51:28

#21# and #22#.

Since the integers are consecutive, we can represent them as #n# and #n+1#. The sum of these two integers is 43 so we can write:

#n+(n+1)=43#

Open the brackets and simplify.

#n+n+1=43#

#2n+1=43#

Subtract 1 from both sides and then divide by 2.

#2n=42#

#n=21#

#:. (n+1)=22#