Interchanging Digits


 
 
Concept Explanation
 

Problems Involving Interchanging Digits

Interchanging Digits:

The general form of a two digit number overline{ab} is

overline{ab}=10times a+b    

On reversing the digits the number becomes overline{ba}    

overline{ba}=10times b+a

As the digit at tens place is b so we multiply b with 10 and then add a.

Now let solve the problems involving interchanging of digits.  

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Sample Questions
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Question : 1

The sum of the digit of a 2-digit number is 8. If the number obtained by interchanging the digits is 36 more than the original number. Find the number?

Right Option : A
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Explanation
Question : 2

The sum of the digit of a 2-digit number is 6. If the number obtained by interchanging the digits is 18 more than the original number. Find the sum of the number and the number obtained after interchange ?

Right Option : C
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Explanation
Question : 3

The difference between a 2- digit number and the number obtained by reversing the digit is 45 .The difference between the two digit of that number is _______________.

Right Option : A
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Explanation
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