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

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: The smallest of three consecutive even integers is 4 less than 5 times the largest. What are the integers       Log On


   

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) About Me  (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: 2n=-4%2B5%282n%2B4%29

Solve the equation for n, and then for 2n.

Answer by MathTherapy(10552) About Me  (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 = 16%2F%28-+4%29 ========> highlight_green%28-+4%29

Middle integer: - 4 + 2 =======> highlight_green%28-+2%29

Largest integer: - 4 + 4 ======>   highlight_green%280%29