Problema Solution

three good friends are in the same algebra class. Their scores on a recent test are three consecutive odd integers whose sum is 219. find each score.

Answer provided by our tutors

let the three consecutive odd integers be:


2x-1, 2x+1, 2x+3, where x is integer


Their scores on a recent test are three consecutive odd integers whose sum is 219:


(2x - 1) + (2x + 1) + (2x + 3) = 219


by solving we find:


x = 36


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2*36 - 1 = 71


2*36 + 1 = 73


2*36 + 3 = 75


the three scores are 71, 73 and 75.