The difference of two numbers is 44 1/2 . if the smaller of the two numbers increases 7 times then the difference will be 10 3/14 . find the numbers. the numbers are:or

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.