A number consists of two digits . if the digits interchange their places and the new number is added to the orignal number,then the number becomes two times of the orignal number .find the number
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Question :-
A number consists of two digits . if the digits interchange their places and the new number is added to the orignal number,then the number becomes two times of the orignal number .find the number.
To Find :-
Original Numbers
Asnwer :-
✒let the number consists of two digit be 'X' 'Y'
ACCORDING TO THE QUESTION
10y + x + 10x + y = 2 ( 10x + y )
✒ 10y + x = 10x + y
✒ 9y - 9x = 0
✒ Y = X
Here, there are infinitely possible values of
X and Y
Exp:-
If x = y = 1
ACCORDING TO THE QUESTION
ACCORDING TO THE QUESTION11 + 11 = 2 ( 11 )
ACCORDING TO THE QUESTION11 + 11 = 2 ( 11 )=> 22 = 22
EXP:-
If x = y = 4
44 + 44 = 2 ( 44 )
44 + 44 = 2 ( 44 )88 = 88
44 + 44 = 2 ( 44 )88 = 88Similar there are infinitely possible values of
X and Y
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