Question

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3. Sum of the digits of a two-digit number is 9. When we interchange the digits, it is found that the resulting new number is greater than the original number by 27. What is the two-digit number?
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Answer 1

let the digit at tens place and ones place : x and 9 - x respectively

therefore original number = 10x + 9-x respectively

new number : 10(9-x)+x

= 90 - 10x +x

= 90 - 9x

ATQ

new number = original number + 27

90 - 9x = 9x + 9 + 27

90 - 9x = 9x + 36

18x = 54

x = 3

digit at tens place = 3

ones place 6.

therefore the two digit is 36

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Answer 2

Answer:

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When we interchange the digits, it is found that the resulting new number is greater than the original number by 27. What is the two-digit number?

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Refer to the Attachment...

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