Question

the digits of a two digit no differ by 3. if the digits are interchanged and the resulting no is added to the original no we get 143.what can be the original no

Answer 1

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Answer 2

Solution -   

Let the digit in ones place be x  

So, the digit in tens place be 3 + x   

Original no. = 10(3 + x) + 1(x)  

= 30 + 10x + x  

= 30 + 11x  

New no. = 10(x) + 1(3 + x)  

= 10x + 3 + x  

= 11x + 3  

According to Question,  

New no. + Original no. = 143  

⇒ (11x + 3) + (30 + 11x) = 143  

⇒ 11x + 3 + 30 + 11x = 143  

⇒ 22x = 143 - 33 = 110  

⇒ x = 110/22   

⇒ x = 5  

Original no. = 30 + 11x  

= 30 + 11(5) ​​

= 30 + 55  = 85  

∴ The number is 85  

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