Question 199621
"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+5}}}





{{{x-y=18}}} Start with the first equation.



{{{2y+5-y=18}}} Plug in {{{x=2y+5}}}



{{{y+5=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+5}}} Go back to the second equation.



{{{x=2(13)+5}}} Plug in {{{y=13}}} 



{{{x=26+5}}} Multiply



{{{x=31}}} Add



Now simply add up x and y to get: {{{x+y=31+13=44}}}



So {{{x+y=44}}}