Question

the difference between a two digit number and the number obtained by interchanging the position of digits is 18. what is the difference between the digits of the number?
(a) 2
(b) 3
(c) 5
(d) none of these

Answer 1

The two numbers can be 75 and 57.
75 - 57= 18
so, their difference would be 7-5 = 2
(a) is the correct answer.


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Answer 2

Step-by-step explanation:

Let us assume two digit number be 10x+y  and its reverse be 10y+x.

According to the question,

10x+y−(10y+x)= 18

10x+y−10y−x=18

9(x−y)=18

x-y=$\frac{18}{9}$

x-y=2

Hence, the difference between the digits is (a) 2.