SOLUTION: Find two consecutive integers whose sum is 176

Question 256617: Find two consecutive integers whose sum is 176
Found 3 solutions by Alan3354, drk, palanisamy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
1 of 2 consecutive integers will be an odd number, and the other will be even.
The sum of an odd number and an even number will always be odd.
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--> 176 is not possible

Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!
Let X be the first number and X+1 be the next consecutive number.
We get
(i)
then we get
(ii)
-1 on both sides to get
(iii)
At this point dividing by 2 will give us a fraction of x = 87.5, which is not an integer.
So one of two things happens: (1) no solution; (2) maybe something was typed incorrectly.
Answer by palanisamy(496)   (Show Source): You can put this solution on YOUR website!
Let the two consecutive integers be n and (n+1)
Their sum is n+(n+1) = 176
2n+1 = 176
2n = 175
n = 175/2
n = 87.5, not an integer
Note. The sum of two consecutive integers cannot be an even integer, it can only be an odd integer
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