My Problem Is: The Product Of Two Numbers Is 48. Their Difference Is 8 . What Are The Two Numbers? And I Have To Use Chart To Show Work.

The chart I would create for this would list the difference associated with each factor pair
1*48, difference = 47
2*24, difference = 22
3*16, difference = 13
4*12, difference = 8. We can stop here, because we found the answer.
The numbers are 4 and 12.

6*8, difference = 2
8*6 ... Now we're going back over ground we've covered already.