Problem 2. The sum of two numbers is 1181. If the larger number is divided by the smaller one, the quotient is 4 and the remainder is 1. What are these numbers?
Solution. If the sum is reduced by 1, i.e., the larger number is reduced by 1, then the larger number will be divisible by the smaller one, and it will be 4 times larger than the smaller one. This means the smaller number is (1181-1):5=236, and the larger one is $1181-236=945$.