Question

The sum of two consecutive integers is 169, how do you find the two integers?

Answer 1

Let `n =` the smaller of the two integers, then `n+1` is the greater of the two integers. The sum of the two integers is:

`n + (n+1) = 169`

Combine like terms:

`2n + 1 = 169`

Subtract 1 from both sides:

`2n = 168`

Divide both sides by 2:

`n = 84`

Then

`n+1 = 85`

check:

`84 + 85 = 169`

`169 = 169 larr` this checks