Question

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?

Answer 1

let unit digit be x
then tens digit is 9-x

the number is : 10(9-x) + x
= 90 - 9x

the number reversed is 10x + 9-x
= 9x + 9

9x+9 - (90-9x) = 27
18x - 81 = 27
18x = 108
x = 6

unit digit is 6
tens digit is 3
The number is 36

Answer 2

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