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

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Answer 1 · 2018-03-19T18:38:17

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