The sum of three consecutive integers is 51. Use an equation to determine the value of the largest integer?
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Three consecutive integers (x , x + 1, and x + 2)
x+2 is the largest integer
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The sum of three consecutive integers is 51
x + (x+1) + (X+2) = 51
x + x + x + 1 +2 = 51
(x + x + x )+ (1 +2) = 51
3 x + 3 = 51
3 x = 51 -3
3x = 48
x= 48/3
x= 16
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The consecutive integers
x = 16
x + 1 = 17
x + 2 = 18
16 + 17 + 18 = 51
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Answer
The value of the largest integer is 18