Question

Average between a two digit number and the number obtained by interchanging the digits is 9. What is the difference between the two digits of the number?

Answer 1

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ANSWER::

It is so simple....
The actual no. is 9 also written as 09
So, by interchanging it we will get. 90
Therefore, 90 is a two digit no....

Now the difference between 2-digit no. is 9...
Because 9-0=9

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Answer 2

The two numbers hence, their difference cannot be determined (D).

Given:

Average of two numbers $=9$

To find:

Difference between the digits of the number.

Solution:

Let, Of the two numbers, the first number be A and the second  be B.

We have been given that the number is a two digit number, hence,

Let the one's digit of the number be $'y'$ and the ten's digit be $'x'$.

The number $A$ will be $10x+y$      $(i)$

Now, the digits of the number are exchanged.

Hence, number $B$ will be $10y+x$   $(ii)$

Now,

The average of the two numbers A and B

$Average=\frac{(A)+(B)}{2}$

This value is given as $9$,

Solving this, we get $A+B=18$

Since, sum of 2, two-digit numbers cannon be 18.

Hence, we cannot calculate the numbers.

Final answer:

Since, the data given to us is insufficient.Therefore, the solution cannon be determined (D).

Although your question is incomplete, you might be referring to the question below.

Average between a two digit number and the number obtained by interchanging the digits is 9. What is the difference between the two digits of the number.

a) 8

b) 2

c) 5

d) cannot be determined