SOLUTION: The sum of four consecutive even integers is 132. Find the integers

Algebra.Com
Question 1167817: The sum of four consecutive even integers is 132. Find the integers
Answer by ikleyn(52884)   (Show Source): You can put this solution on YOUR website!
.

Let n be the smallest of the four integers.


Then the integers are  n, n+2. n+4, n+6.


The equation for the total sum is


    n + (n+2) + (n+4) + (n+6) = 132.


Simplify and find n


    4n + 12 = 132

    4n      = 132 - 12

    4n      = 120

     n      = 120/4 = 30.


ANSWER.  The numbers are  30, 32, 34 and 36.

Solved.



RELATED QUESTIONS

FIND FOUR CONSECUTIVE INTEGERS SUCH THAT THE SUM OF THE SECOND AND FOURTH IS... (answered by checkley75,Kalmetam)
What are four consecutive even integers whose sum is... (answered by stanbon,Alan3354)
The sum of four consecutive even integers is 276. Find the four... (answered by josmiceli)
The sum of four consecutive even integers is 276. Find the four... (answered by drj,checkley77)
The sum of four consecutive even integers is 308 find the four... (answered by Alan3354)
consecutive even integers find the four consecutive even integers whose's sum is... (answered by Alan3354)
the sum of 4 consecutive even integers is 148. find the four... (answered by ewatrrr)
The sum of four consecutive even integers is -20. Find the... (answered by ikleyn)
The sum of three consecutive odd integers is 132. Find the three... (answered by Alan3354)