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The ten's digit of a 2 digit number is greater than the units digit by 4. If we subtract 36 from the number, the new number obtained is a number formed by interchange of the digits. Find the number.

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The ten's digit of a 2 digit number is greater than the units digit by 4. If we subtract 36 from the number, the new number obtained is a number formed by interchange of the digits. Find the number.
1). 37
2). 18
3). 81
4). 73


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1 answers

3 vote
Answered by on | Votes 3 |

According to the given information,

Let’s assume the ten’s digit to be ‘b’ and the unit’s digit to be ‘a’

b – a = 4

⇒ b = a + 4      ---- Equation (1)

The number is = 10b + a

New number formed by interchanging the digits = 10a + b

10b + a – 36 = 10a + b

⇒ 9b – 36 = 9a

⇒ 9b – 9a = 36

⇒ b – a = 4       ---- Equation (2)

There is no solution to Equation (1) and (2).

Option (1), b – a = - 4

Option (2), b – a = - 7

Option (3), b – a = 7

Option (4), b – a = 4

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