2.14 The digits of a two digit number differ by 3. If the digits are i

1.	2.14 The digits of a two digit number differ by 3. If the digits are interchanged and the resultingnumber is added to the original number, we get 143. What can be the original number?
Answer» 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=110/22 x=5 Original number = 85.

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

Answer»

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=110/22

x=5

Original number = 85.