The digits of a 2 digit number differs by 3 If the digits are intercha

1.	The digits of a 2 digit number differs by 3 If the digits are interchanged and the resulting number is added to the original number get 142. What will be the orginal number?
Answer» Step-by-step EXPLANATION: the digits of two digit number DIFFER by 3 , there are two possibilities. One the unit digit be x and tens digit be x + 3 , and two that tens digit is x and unit digit is x + 3 . In first case, if unit digit be x and tens digit is x + 3 , then number is 10 ( x + 3 ) + x = 11 x + 30 and on interchanging numbers, it will BECOME 10 x + x + 3 = 11 x + 3 . As sum of numbers is 143 , we have 11 x + 30 + 11 x + 3 = 143 or 22 x = 110 and x = 5 . and number is 58 .

The digits of a 2 digit number differs by 3 If the digits are interchanged and the resulting number is added to the original number get 142. What will be the orginal number?

Answer»

Step-by-step EXPLANATION:

the digits of two digit number DIFFER by

, there are two possibilities. One the unit digit be

and tens digit be

, and two that tens digit is

and unit digit is

In first case, if unit digit be

and tens digit is

, then number is

(

)

and on interchanging numbers, it will BECOME

As sum of numbers is

143

, we have

143

110

and

and number is