SOLUTION: I am really confused on this word problem, I only know to start with 2n+2 thats about it. Can you please go through the steps on not only how to write it out, but how to solve it t

Algebra ->  Equations -> SOLUTION: I am really confused on this word problem, I only know to start with 2n+2 thats about it. Can you please go through the steps on not only how to write it out, but how to solve it t      Log On


   

Question 351487: I am really confused on this word problem, I only know to start with 2n+2 thats about it. Can you please go through the steps on not only how to write it out, but how to solve it too? Its Tripling the greater of two consecutive even integers gives the same result as subtracting 10 from the lesser even integer. What are the integers?
Thanks a bunch,
Kayla
Found 2 solutions by mananth, ewatrrr:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the two consequitive even numbers be x, & x+2
...
Triple the bigger = 3(x+2)
subtracting 10 from smaller number= x-10
...
3(x+2)=x-10
3x+6=x-10
3x-x=-6-10
2x=-16
x= -8
...
m.ananth@hotmail.ca

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
*Note: consecutive even integers differ by 2.
Let x be the smaller. Then (x+2) is the larger.
.
questions states: write as you read
3*(x+2) = x - 10
.
simplify and solve
3x + 6 = x - 10
2x = -16
x = -8
(x + 2 ) = -6 (the larger)
.
check your answer
3*-6 = -8 - 10 = -18