What are three consecutive integers whose sum is 87?

1 Answer
ProfLayton
Apr 20, 2016

28, 29, 30

Explanation:

We can think of the consecutive integers as the numbers #x-1, x, x+1#. Because we're told the sum is 87, we can write an equation:
#(x-1)+(x)+(x-1)=87#
#3x=87#
#x=29#
So know we know that #x#, the middle number, is 29, so the two numbers next to it are 28 and 30. So the correct list of integers is 28,29,30

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