Question 1095281
x = greater number
y = lesser number


x - y = 15
2x + 8 = 3y - 4


x - y = 15
2x - 3y = -12


Multiply the first equation by -3.


-3x + 3y = -45
2x - 3y = -12


Add to get -x = -57.


The numbers are 57 and 42.