Question

There is a number, the second digit of which is smaller than its first digit by 4, and if the number was divided by the digit's sum, the remainder would be 7.

Actually I know the answer is 623 I found it by using computer program which checks the conditions for all numbers but I wanted to know if there is a mathematical way to slove this problem.

​

Answer 1

Step-by-step explanation:

let larger digit is x

and smaller one is y

according to question

x- y = 4

2nd condition

10x + y / x+y

some way like these