SOLUTION: There are 4 consecutive integers that sum up to 394. What is the value of the least integer?

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.

RELATED QUESTIONS
There are 4 consecutive integers that add up to 334. What is the value of the greatest... (answered by ikleyn)
The sum of the squares of two positive consecutive odd integers is 394. Find the integer. (answered by venugopalramana)
A set of 4 consecutive integers adds up to -74. What is the value of the least... (answered by Fombitz)
the sum of the squares of two consecutive odd positive integers is 394. find the integers (answered by mananth)
What are the consecutive odd positive integers for... (answered by richard1234)
The sum of three consecutive even integers is 36. Let x represent the least consecutive... (answered by jorel555)
The sum of three consecutive even integers is 36. Let x represent the least consecutive... (answered by ewatrrr)
The sum of squares of two consecutive odd integers is 394. Find the... (answered by vleith)
The sum of the least and greatest of three consecutive integers is equal to 35 plus the... (answered by acalgebra)