Question

The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 81. What is the difference
between the two digits of that number?​

Answer 1

Answer:

34

Step-by-step explanation:

hope its help please thanks me and

Answer 2

The difference is 9

Step-by-step explanation:

Given:

The difference between the two-digit number and the number obtained by interchanging the positions is 81

To find:

difference between the two digits of that number

Solution:

Let the two-digit number be 10a+b

Now, interchanging the position of digits we get 10b + a

According to the condition given

(10a+b)- (10b+a) =81

∴ 10a +b- 10b-a = 81..................(opening the brackets)

∴ 9a - 9b = 81

Dividing by 9

we get,

∴ a-b = 9

Thus, the difference between the two digits of the number is 9

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