SUM OF THE DIGITS OF A TWO DIGIT NUMBER IS 9.WHEN WE INTERCHANGE THE DIGITS , IT IS FOUND THAT THE RESULTING NEW NUMBER IS GREATER THAN THE ORIGINAL NUMBER BY 27. WHAT IS THE TWO DIGIT NUMBER?

PLZ SOLVE!!!!!!!!!!!!

Hi!

Here is the answer to your question.

Let the tens digit be

*x*and the ones digit be*y*.*x*+

*y*= 9 … (1)

Original number = 10

*x + y*Reverse number = 10

*y*+*x*Given, Reverse number = Original number + 27

∴10

*y + x*= 10*x + y*+ 27⇒ 9

*y*– 9*x*= 27⇒

*y – x*= 3 … (2)Adding (1) and (2),

⇒

*y*= 6When

*y*= 6,*x*+ 6 = 9 (Using (1))

*x*= 9 – 6 = 3

∴ Original number = 10

*x*+*y*= 10 × 3 + 6 = 30 + 6 = 36Cheers!

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