SOLUTION: If the middle of three consecutive even integers is added to 100, the result is 42 more than the sum of the largest and twice the smallest. Find the smallest integer

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Question 240036: If the middle of three consecutive even integers is added to 100, the result is 42 more than the sum of the largest and twice the smallest. Find the smallest integer
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
First prepare a mini formula for the integers.
x = integer
x+2 = consecutive even integer
x+4 = next consecutive even integer
.
Now workout the problem:
If the middle of three consecutive even integers is added to 100 (x+2+100)
the result is (=)
42 more than the sum (42+)
of the largest (x+4)
and twice the smallest (2x)
.
Your formula then becomes:
%28x%2B2%29%2B100=42%2B%28x%2B4%29%2B2x
Now workout the algebra to solve for x. This wil give you the smallest integer.
.
Remember to check your answers by pluggin in the results in the original formula. Both sides of the equation must equal, otherwise you've done something wrong along the way. :)