Question

The sum of the digits of a two digit number is 12 . if the new number formed by reversing the digit is greater than the original number by 54 . find the orginal number

give the solution in method.​

Answer 1

Answer:

39

Step-by-step explanation:

Let the digit at the ten's place be x.

Given : The sum the digits of two digit number is 12.

 

→ the digit at the unit's place = 12 - x

→ Original number = 10x +(12 - x) = 9x + 12  

If the new number formed by reversing the digits is greater than the original number by 54.

[10(12 - x) + x]- [10x +(12 - x)] = 54

 

After solving, we get

x = 3  

 

Therefore original number = 9x + 12 = 9 × 3 + 12  = 39