Problema Solution

Erin's three test scores were consecutive odd integers. If her next test score is 18 points more than the highest score of the three tests,her total number of points will be 328. Find Erin's test scores

Answer provided by our tutors

the three consecutive odd integers can be written as


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


next test score is 18 points more than the highest score of the three tests


18 + 2x + 3 = 2x + 21


her total number of points will be 328


2x - 1 + 2x + 1 + 2x + 3 + 2x + 21 = 328


by solving we find


x = 38


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2*38 - 1 = 75


2*38 + 1 = 77


2*38 + 3 = 79


2*38 + 21 = 97


Erin's test scores are 75, 77, 79 and 97.