SOLUTION: the sum of three integers is 27. the second integers is 2 less than twice the first integer and the third integer is 5 greater than three times the first. find the numbers

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Question 1064362: the sum of three integers is 27. the second integers is 2 less than twice the first integer and the third integer is 5 greater than three times the first. find the numbers
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39792) About Me  (Show Source):
You can put this solution on YOUR website!
n, the first integer.
n%2B%282n-2%29%2B%283n%2B5%29=27

Answer by MathTherapy(10806) About Me  (Show Source):
You can put this solution on YOUR website!

the sum of three integers is 27. the second integers is 2 less than twice the first integer and the third integer is 5 greater than three times the first. find the numbers
Let the first integer be F

Then 2nd is: 2F - 2, and 3rd is: 3F + 5

We then get: F + 2F - 2 + 3F + 5 = 27

6F + 3 = 27

6F = 27 - 3

6F = 24