Question 1022546
Call the larger and smaller numbers x and y.  Then we have
x - y = 2  and
2x + 3y = 19
Solve the first and substitute into the second...
x = y+2
so that
2(y+2) + 3y = 19
2y + 4 + 3y = 19
5y + 4 = 19
5y = 15
y = 3
so that
x = 5.