Answer:
Therefore, the number is 26.
Step-by-step explanation:
Here's how to find the number:
Let's represent the digits:
Let the tens digit be x.
The units digit is thrice the tens digit, so it's 3x.
The original number can be written as 10x + 3x = 13x.
Apply the information about adding 36:
When 36 is added, the digits interchange, so the new number becomes 10(3x) + x = 31x.
This equation represents the number after adding 36.
Form an equation:
The original number plus 36 equals the new number: 13x + 36 = 31x.
Solve for x:
Subtract 13x from both sides: 36 = 18x.
Divide both sides by 18: x = 2.
Find the original number:
The tens digit is x = 2.
The units digit is 3x = 6.
The original number is 26.
