SOLUTION: The smallest of three consecutive even integers is 4 less than 5 times the largest. What are the integers

Question 1035347: The smallest of three consecutive even integers is 4 less than 5 times the largest. What are the integers
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
n, any integer;
2n, any even integer;
2n, 2n+2, 2n+4, three consecutive even integers;

Symbolizing the description:

Solve the equation for n, and then for 2n.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

The smallest of three consecutive even integers is 4 less than 5 times the largest. What are the integers

Let the first/smallest integer be S
Then the middle and largest are: S + 2, and S + 4, respectively
We then get: S = 5(S + 4) - 4
S = 5S + 20 - 4
S - 5S = 16
- 4S = 16
S, or smallest = ========>
Middle integer: - 4 + 2 =======>
Largest integer: - 4 + 4 ======>
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