Question 504211
Two integers differ by 12. Three times the smaller one is 11 less than twice the larger one. What are the numbers?
---
Equations:
x - y = 12
--
Notice that y must be the smaller number.
----
3y = 2x-11
----
Solve the system:
x - y = 12
2x-3y = 11
------------------
2x -2y = 24
2x-3y = 11
----
Subtract and solve for "y":
y  = 13
---
Solve for "x":
x - y = 12
x - 13 = 12
x = 25
============
Cheers,
Stan H.