Question 287948
sum of two numbers: {{{x+y=47}}}
difference: {{{x-y=15}}}
{{{x}}} has to be larger then {{{y}}} to get a possitive {{{15}}}
so i would use elimination method to solve for {{{x}}}
{{{x+y=47}}}
{{{x-y=15}}} add the equations together straight down
{{{2x+0=62}}}
{{{highlight(x=31)}}} x is the largest number
___________
check
{{{31+y=47}}}
{{{y=16}}}
{{{31-y=15}}}
{{{-y=-16}}}
{{{y=16}}}
16=16 so its correct.