Question

The difference between a 2-digit number and the number obtained by interchanging its digits is 63. What is the difference between the digits of the number?​

Answer 1

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The difference between a 2-digit number and the number obtained by interchanging its digit is 63.what is the difference between the digits of the number?

• Let the number be 10y + x
• Reversed number 10x+y

Difference - 10y+x-(10x+y)

= 63 9y - 9x

=63 y-x

= 7

So difference between digits of the number is 7

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Answer 2

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The difference between a 2-digit number and the number obtained by interchanging its digit is 63.what is the difference between the digits of the number?

• Let the number be 10x + y.
• After interchanging it's digits, We get a number: "10y + x

⇉10x + y - (10y + x) = 63

⇉9x - 9y = 63

⇉9 (x-y) = 63

⇉(x - y) = 7.

We know that, x, y are the digits. We found x - y = 7.

So,The difference between the digits of the number is 7