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?
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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
Answered by
71
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
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