Question 1164625: There are 4 consecutive integers that sum up to 394. What is the value of the least integer?
Found 2 solutions by Boreal, greenestamps:
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! x, x+1, x+2, x+3 are the integers.
They add to 4x+6=394
4x=388
x=97
integers are 97,98,99,100
their average is 98.5 and 4* that is 394.
The answer is 97.
Answer by greenestamps(13200)  (Show Source):
You can put this solution on YOUR website!
The average of the four integers is 394/4 = 98.5.
So the four consecutive integers with a sum of 394 are the two integers closest to 98.5 and on each side of 98.5: 97, 98, 99, and 100.
Formally, with algebra....
Let the four integers be x, x+1, x+2, and x+3. Then
Solve for x using basic algebra, then identify the four integers using that value of x.
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