Question 370999: Find four consecutive even integers whose sum is 182.
Found 2 solutions by mananth, neatmath:
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! let the four consequtive even integers be x,x+2,x+4,x+6
add them up = 3x+12
4x+12=182
-12 -12
4x=170
/4
x= 42.5
...
the numbers are 42.5 ,44.5,46.5,48.5
..
m.ananth@hotmail.ca
Answer by neatmath(302)  (Show Source):
You can put this solution on YOUR website!
Let x be the first even integer.
Then the next three consecutive even integers are x+2, x+4, and x+6.
Now we are given:
Unfortunately, this proves that it is NOT possible to have 4 consecutive even integers that add up to 182, because 42.5 is NOT an even integer.
This also proves that it is not possible to have 4 consecutive odd integers which add up to 182, because 42.5 is also not an odd integer!
Perhaps your sum of 182 is wrong?
The problem as written has no solution!
However, if you change the sum to 172, then you would have 40, 42, 44, and 46 as the 4 consecutive integers which add up to 172.
Also, 42, 44, 46, and 48 add up to 180.
In addition, 44, 46, 48, and 50 add up to 188.
I hope this helps!
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