Question

the digit of two digit number differ by 3. if the digit interchanged and the resulting number added to the given number, the sum is 143 what is orignal number.​

Answer 1

Answer:

Number is 85

Step-by-step explanation:

Let the tens digit be x and ones digit be y,

Therefore,

x - y = 3________________________________eq.1

  ( 10x + y ) + ( 10y + x ) = 143

= 11x + 11y = 143

= 11( x + y ) = 11( 13 )

x + y = 13_______________________________eq.2

Therefore,

Adding equations 1 and 2 we get,

 x - y = 3

 x + y = 13

__________________

2x       = 16

x = 8

Substituting the value of x in eq.1, we get,

8 - y = 3

y = 5

Therefore,

Number is 85