SOLUTION: three consecutive intefers are such that the sum of the second and the third is one less than three times the first. find three integers

Question 586596: three consecutive intefers are such that the sum of the second and the third is one less than three times the first. find three integers
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
x = first
x + 1 = 2nd
x + 2 = 3rd

x + 1 + x + 2 = 3x - 1 {sum of second and third is one less than three times first}
2x + 3 = 3x - 1 {combined like terms}
3 = x - 1 {subtracted 2x from both sides}
x = 4 {added 1 to both sides}
x + 1 = 5 {substituted 4, in for x, into x + 1}
x + 2 = 6 {substituted 4, in for x, into x + 2}

4,5, and 6 are the three consecutive integers

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