Hello there! Your answer is 20/4 and 17/4. To make this simpler, we can start by converting to all improper fractions:
9 x 4 = 36
36 + 1 = 37
37/4 is your improper fraction conversion. Now that we have that, we can restate the problem.
The difference between two numbers is 3/4, and the sum is 37/4. Since we know 20 - 7 = 13, we know that 20 - 17 = 3. That covers the 3/4 portion because we just subtracted to find that.
As for the addition portion, we can solve to result in the improper fraction of 37/4:
20/4 + 17/4 = 37/4.
And that’s our last step! We have identified the numbers!
Your numbers that both subtract to get 3/4 and add to get 9 1/4 is 20/4 and 17/4. If you need any extra help, let me know and I will gladly assist you.