The total of two numbers is 28. four times the smaller number is 7 more than three times the larger number.

Let's define:


So, you can set up a system of equations:



Now, to solve for both of those values, solve the system of equations:







Now, plug that y-value into the first equation to solve for x:



Now, we have both the values. The smaller value (x) = 11.57 and the bigger value (y) = 16.43.