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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