Question

A number consists of 2 digits whose sum is
8, if 8 is subtracted from the number, the
digits interchange their place. The number is

Answer 1

Answer:

let one of the digit = X

Step-by-step explanation:

then problem other number is (8−x)

So,we get the equation

10x+(8−x)+18=10(8−x)+x

10x+8−x+18=80−10x+x

9x+26=80−26

18x=54

x=  

18

54

​  

 

x=3

Then,

The digit in tens place is 3

The digit in ones  place is (8−3=5), then the number is 35 and when 18

is added the result is 53 the digits interchange their position in the  new number.

Then,

We get the number is 35