Sorry for the ambiguity in the title, I had no idea what else to put.
I am studying for a test I have to take for a Japanese scholarship and I have been able to do all of the other sample questions except this one:
The total number of subtractions that result in 11111 remaining after a four-digit number has been subtracted from a five-digit number and the digits 1 through 9 have all been used is...
When I first saw this question I immedietly thought that this was a simple question and only took a little bit of logical guesswork. Soon, I found that 19753 - 8642 = 11111 exactly and figured the number of subtractions must be 1. The answer is not 1, it is 24. This makes no sence to me because the numbers I chose are within the requirements and therefore valid, so even if you could find a 5-digit number that could subtract a 4-digit number 24 times to get 11111, it would not make my answer wrong.
In my opinion this problem can be shown by the equation y - mx = 11111, with y being the 5-digit number, m being the number of subtractions, and x being the 4-digit number.
This test includes topics ranging from algebra 1 to integral calculus, so this question could be an algebra question like I was thinking, but it might be something else.
Rather than showing me the work that results in the answer, 24, I would greatly appreciate it if someone could nudge me in the right direction.
If you need clarification I will be glad to do so. Thank you for your time.