Question 295794
One number= {{{x}}} =larger number
2nd number= {{{y}}} =smaller number
"One number is 7 greater than a 2nd number.Twice the larger number added to three times the smaller is 114."
{{{x=7+y}}} 
{{{2x+3y=114}}} substitute and solve
{{{2(7+y)+3y=114}}}
{{{(14+2y)+3y=114}}}
{{{14+5y=114}}}
{{{5y=100}}}
{{{highlight(y=20)}}}
{{{x=7+y}}} 
{{{x=7+20}}} 
{{{highlight(x=27)}}}