SOLUTION: Find three consecutive integers such that the sum of the middle number and three times the largest number is five times the smallest number.

Question 249540: Find three consecutive integers such that the sum of the middle number and three times the largest number is five times the smallest number.
Answer by chosenpoint(26) (Show Source): You can put this solution on YOUR website!
Numbers_Word_Problems/249540 (2009-12-13 22:55:17): Find three consecutive integers such that the sum of the middle number and three times the largest number is five times the smallest number.

We will set up some variables and equations to solve this one:

Let the three consecutive integers be x, x+1, and x+2

We are given:

given

distribute

simplify

subtract 4x from each side and simplify to final answer

The smallest integer is 7, thus, the three consecutive integers are 7, 8, and 9. Check it, it works!!! :)

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