Question

sum of the digits of a two-digit number is 9. the number obtained by interchanging the digits exceeds the given number by 27 . find the original number

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Answer 1

Answer:

What is the sum of a two digit number?

The sum of a 2 digit number and the number obtained by reversing the order of its digit is 121, and 2 digit differ by 3. What is the number? The sum of the digits of a two-digit number is 18. If the digits are reversed, the number remains the same.

Answer 2

Answer:

63

Explanation:

Let the units digit be x.

Tens digit = 9-x

Original number = 10 (9-x) + x = 90-9x

After interchanging digits,

Units digit = 9-x

Tens digit = x

New number = 10x+9-x = 9x+9

According to Question,

90-9x = 9x+9+27

=> 90-9x = 9x+36

=> 90-36 = 9x+9x

=> 18x = 54

=> x = 54/18

=> x = 3

Hence, original number = 63