SOLUTION: I'm not sure how to solve this: Write an equation and solve. Tripling the greater of two consecutive even integers gives the same result as subtracting 10 from the less even

Algebra ->  Expressions -> SOLUTION: I'm not sure how to solve this: Write an equation and solve. Tripling the greater of two consecutive even integers gives the same result as subtracting 10 from the less even       Log On


   



Question 517456: I'm not sure how to solve this:
Write an equation and solve.
Tripling the greater of two consecutive even integers gives the same result as subtracting 10 from the less even integer. What are the integers?

Found 2 solutions by stanbon, richwmiller:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation and solve.
Tripling the greater of two consecutive even integers gives the same result as subtracting 10 from the less even integer. What are the integers?
-----
1st: 2x
2nd: 2x+2
----
Equation:
3(2x+2) = 2x-10
6x+6 = 2x-10
4x = -16
---
x = -4
----
1st: 2x = 2*-4 = -8
2nd: 2x+2 = 2*-4+2 = -6
===========================
Cheers,
Stan H.
===============

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
The integers are x and x+2
3*(x+2)=x-10
3x+6=x-10
subtract x from both sides
subtract 6 from both sides
2x=-16
x=-8
-8+2=-6
check
3*(-6)=-8-10
-18=-18
ok