Answer: The smaller number is 9 and 5/42. The larger number is 53 and 13/21.
To find these answer you have to write the following two equations.
x - y = 44 and 1/2
7y - x = 10 and 3/14
Then, you can use the substitution method to solve them. Change the first equation to: x = 44 + y. Substitute that into the second equation and solve for y. Once you have that, plug it back into the first equation and solve for x.