SOLUTION: The sum of three consective even integers is 114 a. Define variables for the smalles integer (36)? b. Define variables to represent the 2nd and 3rd integers (38, 40)? c. Writ

Algebra ->  Expressions-with-variables -> SOLUTION: The sum of three consective even integers is 114 a. Define variables for the smalles integer (36)? b. Define variables to represent the 2nd and 3rd integers (38, 40)? c. Writ      Log On


   

Question 87134: The sum of three consective even integers is 114
a. Define variables for the smalles integer (36)?
b. Define variables to represent the 2nd and 3rd integers (38, 40)?
c. Write an equation for the sum of the tree consecutive even integers.
d. Solve the equation to find the three even integers.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You have to make sure the variables are even, To do this,
call the 1st integer 2k
call the 2nd integer 2k%2B2
call the 3rd integer 2k%2B4
Now sove for k
2k+%2B+2k+%2B+2+%2B+2k+%2B+4+=+114
6k+%2B+6+=+114
6k+=+108
k+=+18
The integers are, therefore
2%2A18+=+36
2%2A18+%2B+2+=+38
2%2A18+%2B+4+=+40