SOLUTION: Find 3 consecutive intergers such that the product of the first and second is 5 less than 5 times the third.

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Question 188544: Find 3 consecutive intergers such that the product of the first and second is 5 less than 5 times the third.
Answer by solver91311(24713) About Me  (Show Source):
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Integer, not interger, please.

Let x be the first integer, then x + 1 is the second, and x + 2 is the third, so:



Simplify:





Factor:



so



and the three integers are -1, 0, and 1

or



and the three integers are 5, 6, and 7

Check:





You get to do the arithmetic.

John