Let x and y represent the smaller and larger numbers, respectively.
y - x = 5 . . . . . the difference is 5
3y = 4x + 6 . . 3 times the larger is 4 times the smaller plus 6
Add x to the first equation to get an expression for y.
y = x + 5
Use that in the second equation.
3(x + 5) = 4x + 6
3x + 15 = 4x + 6 . . . . . eliminate parentheses
9 = x . . . . . . . . . . . . . . add -3x-6
y = x+5 = 14
smaller number: 9
larger number: 14
