Question

A number N is multiplied by 3. The result is the same as when N is divided by 3. What is the value of N?

Answer 1

The answer MIGHT be 0, but 0/3 is also undefined.

Answer 2

`N=0`

Explanation:

We have been given that a number N is multiplied by 3. So our number would be
`3\cdot N`.

We are also told that N is divided by 3. So our number would be
`(N)/(3)`.

As we are told that the both results are same, so we can equate both expressions as:

`3\cdot N=(N)/(3)`

`3*3\cdot N=(N)/(3)*3`

`9N=N`

`9N-N=N-N`

`8N=0`

`(8N)/(N)=(0)/(N)`

`N=0`

Therefore, the value of N is 0.