The sum of digits of a two digit number is 11. If we interchange the digits, the new number is 45 more than the original number. Find the number?
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EXPLANATION:-
Let the unit digit=x
then tens digit=11-x
And the digit will be :-
10(11-x)+x
110-11x
So after interchanging,
Unit digit=11-x
Then tens digit=x
and the digit will be :-
11x+11
Now It if given that If we interchange the digits the new number is 45 more than the original number,
So equation can be-
Previous digit+45=new digit
Previous digit=110-11x
New digit=11x+11
A.T.Q
110-11x+45=11x+11
ANSWER-
x=6.54...
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