Question

The sum of 2 digits no. and no. formedby interchangigng its digit is 110

Answer 1

Hi ,

Let ten's place digit = x

units place digit = y

The number = 10x + y ---( 1 )

If we Interchanging the digits the new number

so formed = 10y + x ---( 2 )

according to the problem given ,

( 1 ) + ( 2 ) = 110

10x + y + 10y + x = 110

11x + 11y = 110

divide each term with 11 , we get

x + y = 10--( 3 )

Now ,

positive Integers which satisify equation ( 3 ),

is our solution .

example :

19 , 28 , ...

I hope this helps you.

: )