Question

the digits of a two digit number differ by 3 if the digits are interchanged and the resulting new number is added to the original number we get 143 what is the original number

Answer 1

Let the unit digit be x

Tens digit => x+3

10(x+3)+x

digits interchanged =10x+x+3

10(x+3)+x+10x+x+3=143

=> 10x+30+12x+3=143

=> 22x+33=143

22x=143−33

22x=110

x=11022

x=5

Original number = 85.

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