The sum of five consecutive integers is equal to 3 times the largest. What is the largest of the integers?

The sum of five consecutive integers is equal to 3 times the largest. What is the largest of the integers? Correct Answer 5

Let the integers from smallest to largest be x - 2, x - 1, x, x + 1 & x + 2 respectively.  Then, x - 2 + x - 1 + x + x + 1 + x + 2 = 3(x + 2) or,  5x = 3x + 6 or,   5x - 2x = 6 or,   2x = 6 or,    x = 3 So, the largest intger is 3 + 2 = 5.
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