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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.
Let the one 's place digit be x

the ten 's place digit be (9 - x)

the number will be = (9 - x) * 10 + x * 1

=90 - 10x + 1x

=90 - 9x

when we interchange the digits, the resulting new number= x*10 + (9 - x)*1

= 10x+ 9 - 1x

= 9x + 9

A/Q

90 - 9x + 27 = 9x + 9

=>90 + 27 - 9= 9x + 9x

=>108 = 18x

=>108/18 = x

=>6 = x

=>x = 6

Therefore, the two digit number is = 90 - 9*6

= 90 - 54

= 36


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