Question 221471
"one number is 3 more than twice a second number" means that {{{y=2x+3}}}



"their sum is 27" means {{{x+y=27}}}



{{{x+y=27}}} Start with the 2nd equation



{{{x+2x+3=27}}} Plug in {{{y=2x+3}}}



{{{3x+3=27}}} Combine like terms on the left side.



{{{3x=27-3}}} Subtract {{{3}}} from both sides.



{{{3x=24}}} Combine like terms on the right side.



{{{x=(24)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}.



{{{x=8}}} Reduce.



{{{y=2x+3}}} Move onto to the 1st equation



{{{y=2(8)+3}}} Plug in {{{x=8}}}



{{{y=16+3}}} Multiply.



{{{y=19}}} Combine like terms on the right side.



So the two numbers are 8 and 19