Problema Solution

Find three consecutive integers such that one-third the sum of the largest and the smaller is equal to the middle integer.

Answer provided by our tutors

the three consecutive integers can be written as:


x-1, x and x+1, where x is integer


one-third the sum of the largest and the smaller is equal to the middle integer:


(1/3)(x+1 + x-1) = x


by solving we find


x = 0


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the three consecutive integers are: -1, 0 and 1.