Question

In a two digit number sum of it's digits is 12. If the digits are interchanged, the difference between the new and the original number is 54. Find the two digit number.​

Answer 1

Answer:

answer for the given problem is given

Answer 2

Answer:

39

Explanation:

The sum the digits of two digit number is 12.

So, the digit at the unit's place = 12 - x ⇒ 1

and the Original number = 10x +(12 - x) = 9x + 12 ⇒2

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

So,

[10(12 - x) + x]- [10x +(12 - x)] = 54 ⇒ 3

By solving this equation, we get

x = 3

Substitute the value of x in equation 2

Original number = 9x + 12

                            = 9(3) + 12

                            = 27 + 12

                            = 39

∴Therefore original number = 39