Question 1145462
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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.


<U>ANSWER</U>.  85.


<U>CHECK</U>.  82 + 83 + 84 + 85 = 334.    ! Correct !
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Solved.


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More elegant solution is THIS :


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Divide 334 by 4.  You will get  {{{334/4}}} = 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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