a number consist of two digits. If the digits interchange their places and the new number is added to the original number, then the number becomes two times of the original number. Find the number
Answers
Answered by
10
Heya
_______________________________
let the number consists of two digit be xy
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
11 + 11 = 2 ( 11 )
=>
22 = 22
EXP:-
If x = y = 4
44 + 44 = 2 ( 44 )
88 = 88
Similar there are infinitely possible values of x and y
_______________________________
let the number consists of two digit be xy
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
11 + 11 = 2 ( 11 )
=>
22 = 22
EXP:-
If x = y = 4
44 + 44 = 2 ( 44 )
88 = 88
Similar there are infinitely possible values of x and y
Answered by
15
Answer:
it is the right answer to the numerals
Similar questions
Math,
7 months ago
English,
7 months ago
Hindi,
1 year ago
Computer Science,
1 year ago
Science,
1 year ago