### Brain Teasers

# Arithmetical Bedlam Conundrum

You have the following equations:

a + c = a

b - c = c

c / b = c

a * a = b

You also know that a, b, c have the values 0, 1 and 2, but not necessarily in that order.

But to make matters more complicated the symbols + - * / have been mixed up: all you know is that each represents a different arithmetical operation (addition, subtraction, multiplication or division).

Can you work out the values of a, b and c, and what each of the symbols actually mean?

a + c = a

b - c = c

c / b = c

a * a = b

You also know that a, b, c have the values 0, 1 and 2, but not necessarily in that order.

But to make matters more complicated the symbols + - * / have been mixed up: all you know is that each represents a different arithmetical operation (addition, subtraction, multiplication or division).

Can you work out the values of a, b and c, and what each of the symbols actually mean?

### Hint

The only thing you should assume about the arithmetical symbols is that no two represent the same operation.### Answer

a = 1b = 2

c = 0

+ = -

- = *

* = +

/ = /

(Yes, the division symbol escaped the bedlam!)

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