### Brain Teasers

# Equationale

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Other brain teasers don't fit into any other category, so they can be unique and challenging.Other

Instructions:

In the problem below, 'X' represents a letter, and each letter represents a member of the same group of things.

For Example: If I was using the letters T, B, S they might refer to Trout, Bass, and Salmon, which are all fish. But remember, we are dealing with things that can be 'Added' and 'Subtracted'.

The following are true statements:

(P) - (R) + (Y) = 'X'

('X') - (Y) = B

However,

No letter added to it will give you two of that letter.

That is, 'X' + 'X' = 2X would NEVER be true.

Question:

What is the only letter 'X' can represent?

In the problem below, 'X' represents a letter, and each letter represents a member of the same group of things.

For Example: If I was using the letters T, B, S they might refer to Trout, Bass, and Salmon, which are all fish. But remember, we are dealing with things that can be 'Added' and 'Subtracted'.

The following are true statements:

(P) - (R) + (Y) = 'X'

('X') - (Y) = B

However,

No letter added to it will give you two of that letter.

That is, 'X' + 'X' = 2X would NEVER be true.

Question:

What is the only letter 'X' can represent?

### Hint

"Adding" and "Subtracting" these things as equations is feasible. Even adding them in 3D. However, "Subtracting" them in 3-D is like finding a pot of gold....### Answer

Solution: 'X' can only represent the letter G, [GREEN]Basis:

The letters represent COLORS, which can be 'ADDED' and 'SUBTRACTED' from (or to) each other, producing a new result.

Example:

Purple (P) is a color that consists of both Red (R) and Blue (B).

Thus, R+B=P.

Also, 'SUBTRACTION' works:

Purple (P), consisting of two colors added together (Red [R] and Blue [B]), can have one of those colors subtracted to leave the remaining color (in an equation this works, but don't try it with real paint):

(P) - (R) = (B) [Purple minus Red Equals Blue]

Therefore, I can get 'G' (Green) by doing this:

(P) - (R) + (Y) = G

Hint Explained:

"Adding" and "Subtracting" these things as equations is feasible. (as demonstrated). Even adding them in 3D. (Mixing paint, for example). However, "Subtracting" them in 3-D is like finding a pot of gold....

on the other side of the RAINBOW. (BIG HINT).

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## Comments

just a shade over outstanding. i was only saved from a teaser block by such a BIG hint. wonderful !

Thanx Griphook. I wonder how many others are getting that hint, or are still looking for the Pot of gold.

Fun. I got it without looking at the hint.

Wow, I'm impressed! ....Did I just give myself and you a complement at the same time?

Looks that way LOL

I got this straight away, but probably due to pure blind luck. That I,ve just been explaining mixing colours to my little girl

I've had that happen before. Just finished doing something related to the teaser gave me the edge at solving it. On another note, Quality Time is becoming rare in this fast paced world. That was good to hear.

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