Answer :

Let us assume, is the tenth-place digit and is the unit

Place digit of a two – digit number


The two digit number = 10x + y and reversed number = 10y + x


According to the question


y = 2x(i)


Given,


10x + y + 27 = 10y + x


9y-9x = 27


y-x = 3


(divide by 9 on both the sides)


y = 3 + x(ii)


Substitute the value of y from (i) in(ii)


2x = 3 + x


2x-x = 3


x = 3


y = 2x = 2 × 3 = 6


Hence the two digit number = 10x + y = 10 × 3 + 6 = 36


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