Math, asked by babakibetiradhika, 9 months ago

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​

Answers

Answered by aashiaashi2004
0

Step-by-step explanation:

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Answered by Agamsain
8

Answer:

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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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