Question

A Sum of digits of a two digital no. Is 9 . When we interchange the digits, it is found that the resulting new no. is greater than the original no. by 27 . What is too digit no.

Answer 1

Answer: 27 is the required two digit number

Step-by-step explanation:

Let the ten's didir of the number be x and the unit digit be y

So,

x+y=9 (given)

x=9-y. (I)...

Now,

ORIGINAL NUMBER=10x+y

=10(9-y)+y

=90-10y+y

=90-9y

Also,

INTERCHANGED NUMBER=

10y+x

=10y+9-y

=9y+9

Now,

ACCORDING TO THE QUESTION

9y+9=90-9y+27

18y=126

y=7

Putting y=7 in (I)...

x=9-7

=2

So, the required number is 27

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