There is a two digit number. The sum of the ten digit number and the single digit number is 8 If the number on the ten digit and the number on the single digit are exchanged, the two digits obtained will be multiplied by the original two digits, and 1855 will be obtained

There is a two digit number. The sum of the ten digit number and the single digit number is 8 If the number on the ten digit and the number on the single digit are exchanged, the two digits obtained will be multiplied by the original two digits, and 1855 will be obtained

Let the original tens of digits be X
Then the original number is 10x + 8-x = 9x + 8
After replacement, the number is 10 (8-x) + x = 80-9x
（9X+8）（80-9X）=1855
-81X²+648X+640=1855
81X²-648X+1215=0
X1=3,X2=5
The original two numbers are 35 or 53