The sum of the digits of a two-digit number is 12. If the digits are reversed, the new number is 54 less than the original number. Find the original number.

93

Step-by-step explanation:

Let the digit in tens place be 'x' & digit in ones place be 'y'.

So , the original number =

According to the question , ......... .eqn(1)

When digits are interchanged ,

The new number formed =

According to the question , ............ eqn(2)

Solving eqn(2) further ,

Adding eqn(1) and eqn(3) ,

Putting the value of x in eqn(1),

∴ Original number = 93

a is the correct