SOLUTION: The difference between two numbers is 18. If the larger number is 5 more than twice the smaller number, what is their sum?

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Question 199621: The difference between two numbers is 18. If the larger number is 5 more than twice the smaller number, what is their sum?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"The difference between two numbers is 18" translates to x-y=18

"If the larger number is 5 more than twice the smaller number" translates to x=2y%2B5




x-y=18 Start with the first equation.


2y%2B5-y=18 Plug in x=2y%2B5


y%2B5=18 Combine like terms on the left side.


y=18-5 Subtract 5 from both sides.


y=13 Combine like terms on the right side.


x=2y%2B5 Go back to the second equation.


x=2%2813%29%2B5 Plug in y=13


x=26%2B5 Multiply


x=31 Add


Now simply add up x and y to get: x%2By=31%2B13=44


So x%2By=44