Question

a number consists of two digit if the digits interchange their places and the new number is added to the original number then the number becomes 2 times of the original number find the number

Answer 1

let the first digit=x
let the tenth no.=y
so the original no.=10y + x
and,new no. = 10x + y

A.T.Q

10x + y + 10y + x= 2(10y+x)
11x+11y=20y+2x
9x=9y
x=y

the no.is xx,xy,yx,yy these are the possible values if x=y

Answer 2

HELLO......FRIEND!!

THE ANSWER IS HERE,

Let the number be xy.

The expanded form => 10x+y.

From the question,

=> 10x+y+10y+x= 2 (10x+y)

=> 11x+11y =20x+2y

=> 9x =9y.

=> x=y.

So, There are many solutions for the number & it should satisfy x =y.

Some are 11 ; 22 ; 33.......

:-)Hope it helps u.