Number obtained by interchanging the digits of a two-digit number is more than the original numbers by 27 and the sum of the digits is 13.What is the original number?

Number obtained by interchanging the digits of a two-digit number is more than the original numbers by 27 and the sum of the digits is 13.What is the original number?
1). 58
2). 67
3). 76
4). 85

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Guest · Answer 1 · 2019-04-07 15:13:19

Solution

Let the two-digit number be 'xy'
The number obtained by interchanging the digits = yx
Given that x + y = 13
And 10y - x = 27 + 10x + y
y - x = 3
On solving the equations, we get x = 5, y = 8
Hence, the required number is 58.

Guest · Answer 2 · 2019-04-25 08:56:06

Solution

Let the two-digit number be 'xy'
The number obtained by interchanging the digits = yx
Given that x + y = 13
And 10y - x = 27 + 10x + y
y - x = 3
On solving the equations, we get x = 5, y = 8
Hence, the required number is 58.

Number obtained by interchanging the digits of a two-digit number is more than the original numbers by 27 and the sum of the digits is 13.What is the original number?

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