The difference between two numbers is 18. Twice the smaller number plus three times the larger is 74. What are the numbers?
+1223 Let the two numbers be x and y, with x being the larger number.
x - y = 18
3x + 2y = 74
Multiply the first equation by 3 so we can eliminate x.
3x - 3y = 54
-3x - 2y = -74
-------------------------
-5y = -20
y = 4 --> x = 22
The numbers are 22 and 4.
