Question : The sum of the digits of a two-digit number is 10. The number formed by reversing the digits is 18 less than the original number. Find the original number.
Option 1: 81
Option 2: 46
Option 3: 64
Option 4: 60
Correct Answer: 64
Solution :
Let the digit in one's place of the number be
So number = 10
By reversing that number = 10
According to the question,
So,
⇒
⇒ –9
⇒ –9(
⇒ (
By adding equation(1) and (2), we get,
⇒ 2
⇒
Put value of x in equation(1),
⇒
So, number =
Hence, the correct answer is 64.
