Respuesta :
The numbers that fulfil the conditions in the question are;
one digit number = 4
four digit number = 7227
- We are told that the sum of a four digit number and 1 digit number is 7231.
Also, that the product of both of them is 28908.
- Now, this means that, the last digit of the 4 digit number must be a number that when multiplied by the 1 digit number will yield 8 as the last digit of the product.
- Similarly, the last digit of the 4 digit number when added to the 1 digit number must yield 1 as the last digit of the sum.
- Combining those two conditions, the only single numbers that are fit for that purpose are 7 and 4.
Let us try 7 as the single digit, thus, the 4 digit number will be;
4 digit number + 4 = 7231
4 digit number = 7231 - 4
4 digit number = 7227
Let us multiply by 4 to see if we will get same product as given in the question.
7227 x 4 = 28908
Thus, the numbers are correct and we conclude that;
one digit number = 4
four digit number = 7227
Read more at; https://brainly.com/question/20316317