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Question 781173: I am trying to find three consecutive numbers that will equal 170. I have already tried these numbers: 55 56 57 that equals 168 so then I tried to use these numbers: 56 57 58 but it equals 171.
Answer by josgarithmetic(39618)   (Show Source):
You can put this solution on YOUR website! Try to think about the qualities of these numbers.
Any three consecutive numbers, assuming integers, would be as odd, even, odd; or even, odd, even.
The sums would be as:
odd+even+odd=odd+odd+even=(odd+odd)+even=even+even.
This result must be EVEN.
even+odd+even=(even+even)+odd=even+odd=odd.
This result must be ODD.
The question description might be expected to be no trouble.
Three consecutive numbers, n, n+1, n+2.
Sum must be equated to 170 according to given:
n+n+1+n+2=170
3n+3=170, and obviouslly this is NOT a product of three and any integer.
3n=170-3
3n=167, and neither is this product.
For consecutive numbers, they MUST be integers at the very broadest. NO SOLUTION.
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