Can someone show me the first step?

[mathimpaired]

The sum of two integers is 158. Find the two integers if the larger is 10 less than twice the smaller.


I know this is probably super easy, but I'm lost. I think I can probably figure it out if someone points me in the right direction. Thanks.

 

[Denis]

The sum of two integers is 158. Find the two integers if the larger is 10 less than twice the smaller.

x = smaller integer; then larger integer = 2x - 10; carry on

 

[mathimpaired]

I still don't get it. I'm feeling very stupid right now. I've read my book, looked over my notes, read the reply, and I still don't get it. The problem looks like it should be easy to solve, but I'm still very lost.

 

[pka]

\(\displaystyle \L
\begin{array}{r}
m + n & = & 158 \\
m + 10 & = & 2n \\
\left( {2n - 10} \right) + n & = & 158 \\
\end{array}\)

 

[mathimpaired]

Eureka!!!! It only took me a couple of hours, but I finally figured it out!
The answer is 102. Thanks for all your help. I love this board.

Geez, why is it I can write a three page essay for English in a half hour and get an A, but it takes me forever to solve a simple math problem?