SOLUTION: There are 4 consecutive integers that add up to 334. What is the value of the greatest integer?

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Question 1145462: There are 4 consecutive integers that add up to 334. What is the value of the greatest integer?
Answer by ikleyn(52813)   (Show Source): You can put this solution on YOUR website!
.

x + (x+1) + (x+2) + (x+3) = 334


4x + 6 = 334


4x = 334 - 6 = 328


x            = 328/4 = 82.


The integers are 82, 83, 84, 85.


ANSWER.  85.


CHECK.  82 + 83 + 84 + 85 = 334.    ! Correct !

Solved.

-----------------

More elegant solution is THIS : 


Divide 334 by 4.  You will get   = 83.5,  and it is the average of the four consecutive integers.


Hence, the largest of the 4 consecutive integers is 85,


which gives you quick mental solution.


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