Question 126308
I came up with this idea:
You can always know what exactly reminder is.
This is a game:

You ask a person {{{A}}} to think about any number, then you say that a person {{{B}}} gives him/her the {{{same}}} number. A person {{{A}}} need to add these numbers. Then you say to a person {{{A}}}:"I will give you 44." (for example, it could be any number). A Person {{{A}}} should add that number to the sum of previous two numbers.

After the person {{{A}}} got a sum of all three numbers, you ask him/her to throw away half of it, and to give back to person {{{B}}} what he/she gave to a person {{{A}}}. Then you say to a person {{{A}}} that he/she has reminder {{{22}}}.

If you look closely to this example, you will see that you gave a person {{{A}}} {{{44}}} and reminder is half of it.

Acctualy, reminder is always half of what you give to a person {{{A}}}.

or

if a person {{{A}}} thinks about number {{{x}}}, we will have:

{{{x}}}.......... a number that person {{{A}}} thinks about  

{{{x}}}.......... also a number that person {{{B}}} gives to a person {{{A}}}

{{{44}}}..........you gave to a person {{{A}}}

a person {{{A}}} add them all:

{{{x+x+44}}}
{{{2x+44}}}

then throw away {{{1/2}}} of it, and we will have

{{{x+22}}}

give back what person {{{B}}}gave

{{{22}}}...........reminder

As you can see, it is NOT important what number a person {{{A}}} is thinking about; only important thing is what you gave and reminder will always be half of it.