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The number obtained by interchanging the two digits of a two-digit number is less than the original number by 63. If the sum of the two digits of the number so obtained is 11, then what is the original number?

The number obtained by interchanging the two digits of a two-digit number is less than the original number by 63. If the sum of the two digits of the number so obtained is 11, then what is the original number? Correct Answer 92

Calculation:

Let the number be in the form of 10x + y.

⇒ Number formed by interchanging x and y = 10y + x and

⇒ x + y = 11 .... (1)

⇒ 10y + x = 10x + y - 54

⇒ 9x - 9y = 63

⇒ x - y = 7 ... (2)

⇒ x = 9 y = 2

⇒ The number will be = 92

∴ The required result will be 92.

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