SOLUTION: The sum of two numbers is 45. Their difference is 9. What are the numbers?
I need help with setting up this equation.
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Question 178510This question is from textbook
: The sum of two numbers is 45. Their difference is 9. What are the numbers?
I need help with setting up this equation.
This question is from textbook
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
"The sum of two numbers is 45." translates to
and
"Their difference is 9" translates to
So we have the system of equations:
Add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:
Group like terms.
Combine like terms.
Simplify.
Divide both sides by to isolate .
Reduce.
------------------------------------------------------------------
Now go back to the first equation.
Plug in .
Multiply.
Subtract from both sides.
Combine like terms on the right side.
So the answers are and .
This means that the two numbers are 27 and 18
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