SOLUTION: Find two consecutive even integers such that the sum of the larger and three times the smaller is 234

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Question 240925: Find two consecutive even integers such that the sum of the larger and three times the smaller is 234
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = integer
Let x+2 = consecutive even integer
Now, the sum of the larger and three times the smaller is 234. So the equation then becomes:
%28x%2B2%29%2B3x=234
4x%2B2=234
4x=234-2
x=232%2F4
x=58 <--- this is your smaller integer
.
x%2B2=58%2B2=60 <--- this is the consecutive even integer.
.
Check: Remember the original equation
%28x%2B2%29%2B3x=234
%2858%2B2%29%2B3%2A58=234
60%2B174=234
234=234
.
Done! :)