### Brain Teasers

# Math Symbols

You have the numbers 2 3 4 6 7 8 represented by the symbols # $ & % ? ! Each symbol represents one and only only number. From the following can you figure out which number matches which symbol? (X means multiplied by)

?# = # X !

?# = $ X %

#? = ! X &

$? = % X #

?# = # X !

?# = $ X %

#? = ! X &

$? = % X #

### Answer

? 2$ 3

# 4

! 6

& 7

% 8

From the first two equations:

?# = # X !

?# = $ X %

You need to find the same product from four different numbers. And the second digit of the product (#) must be a factor

2 * 6 = 12 (2)

or

3 * 4 = 12

or 6*4 = 24 (4)

or

8*3 = 24

The 3rd equation is the opposite so its either 21 or 42

Which can only be made from 7*6 or 7*3

We could have

2 * 6 = 12

3 * 4 = 12

3 * 7 = 21

But then we have fail to use 8!

so we must have

24 = 6*4

24 = 8*3

42 = 7*6

so we know

? 2

# 4

so

! is 6

& is 7

3 and 8 can be got from:

$? = % X #

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