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Question

The sum of digits of a two digit number is 13. If the number is subtracted from the one obtained by reversing the digits, the result is 45. Find the number.


  1. 94 
  2. 49 
  3. 85
  4. 76 


Solution

The correct option is A 94 

Let the digit in the unit's place be y and digit in the ten's place be x

x+y=13     ...(1) and

10x+y(10y+x)=45

9x9y=45      ....(2)

Solving (1) and (2)

Multiply (1) by 9 we get,

9x+9y=117....(3)

Adding (2) and (3)

18x=162x=9

Substitute x=9 in (1)

9+y=13y=4

The number is 94.

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