AI tutor
Welcome to Bytelearn!
Let’s check out your problem:
The digit in the tens place of two-digit number is three times that in the units place. If the digits are reversed. the new number will be cless than the original number. Find the original number.
Full solution
Q. The digit in the tens place of two-digit number is three times that in the units place. If the digits are reversed. the new number will be cless than the original number. Find the original number.
- Identify Units and Tens: Let the units digit be . Then, the tens digit is . The original number can be expressed as .
- Reverse Digits: When the digits are reversed, the number becomes . According to the problem, this reversed number is less than the original number. So, .
- Simplify Equation: Simplify the equation: .
- Solve for x: Solve for x: .
- Find Tens Digit: Now, find the tens digit: .
- Final Original Number: The original number is .
