SOLUTION: Find two consecutive integers whose sum is 176

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Find two consecutive integers whose sum is 176      Log On


   

Question 256617: Find two consecutive integers whose sum is 176
Found 3 solutions by Alan3354, drk, palanisamy:
Answer by Alan3354(69443) About Me  (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.
-----------------
--> 176 is not possible

Answer by drk(1908) About Me  (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) x+%2B+x+%2B+1+=+176
then we get
(ii) 2x%2B+1+=+176
-1 on both sides to get
(iii) 2x+=+175
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) About Me  (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