English, asked by shahidmahar4460, 1 year ago

23. The digits of a two-digit number differ by 3. If the digits are interchanged, and the resulting number is added to the original number, we get 143. What can be the original number?

Answers

Answered by Hephz
1
Let the unit digit be x

Tens digit => x+3x+3

10(x+3)+x10(x+3)+x

digits interchanged =10x+x+3=10x+x+3

10(x+3)+x+10x+x+3=14310(x+3)+x+10x+x+3=143

=> 10x+30+12x+3=14310x+30+12x+3=143

=> 22x+33=14322x+33=143

22x=143−3322x=143−33

22x=11022x=110

x=11022x=11022

x=5x=5

Original number = 85

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