Question

The sum of two digit number is 12. If the new number is formed by reversing the dugit is greater than the original number by 54. Find the original number

Answer 1

Answer: 39

Step-by-step explanation:

          Firstly let me explain you how to easily understand the procedure

I follow .  Any number let's say 26 can be expressed as 10(20) + 1(6).

Which is the Digit in the tens place is multiplied with 10 and the digit in ones is multiplied with 1 and added up.

Let the give number be XY so it can be written as 10X + Y

And the reverse of it is YX can be written as 10Y + X

The question says that difference YX >XY and YX-XY=54

Here donot confuse think that YX and XY are the same .

            Therefore  10Y + X -10X - Y = 54

                                             9Y- 9X = 54

                                                  Y-X = 6

Also given that sum of the digits is 12

                                                  X+Y= 12

Solving the equations

                   We get X=3 and Y=9

Therfore the original number is 39.