One positive number is 5 times another number. The difference between the two numbers is 1544, find the numbers

The numbers are 386 and 1930.

First of all, we should look at an example. 5 is 5 times of 1, so we will use the numbers 5 and 1. The difference between the numbers is 4. If we take 1 as x, the difference between the numbers is 4x. Thus, we will imply it in the question above. The difference between the numbers (1544) is 4x. So, 1544=4x. We divide 1544 by 4 and get x is 386. Thus, 386 is the smaller number. You times 386 by 5, and you will get 1930.