Question 1004181

let numbers be {{{x}}} and {{{y}}}=>the larger number is {{{x}}} 
if two numbers differ by {{{15}}}, we have

 {{{x-y=15}}}

{{{x=y+15}}}.......eq.1

if twice the smaller number plus triple the larger number is equal to {{{105}}}, we have:

{{{3x+2y=105}}}....eq.2....substitute {{{x}}} from eq.1

{{{3(y+15)+2y=105}}}

{{{3y+45+2y=105}}}

{{{5y=105-45}}}

{{{5y=60}}}

{{{y=60/5}}}

{{{highlight(y=12)}}}

now find {{{x}}}

{{{x=y+15}}}.......eq.1

{{{x=12+15}}} 

{{{highlight(x=27)}}}