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The difference between a two digit number and the number obtained by interchanging the digits is 27. What is the difference betw een the two digits of the number?

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Question

The difference between a two digit number and the number obtained by interchanging the digits is 27. What is the difference betw een the two digits of the number?

Options

  • 9

  • 6

  • 12

  • 3

MCQ
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Solution

3

Explanation:

Let number is 10x + y (x, y are the digits).

Number obtained by interchanging the digits

= 10y + x
∴ 10x + y - (10y + x) = 27

9(x - y) = 27

∴ x - y = 3

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