### Brain Teasers

# Symbols

Math
Math brain teasers require computations to solve.

Each letter ABCDEFGH represents the numbers 1 to 8 inclusive:

FA*A=CF

DG*A=BA

H*E=DH

F*A = C

Can you match the letter to the number?

FA*A=CF

DG*A=BA

H*E=DH

F*A = C

Can you match the letter to the number?

### Hint

G = 1### Answer

1 = G2 = A

3 = D

4 = F

5 = H

6 = B

7 = E

8 = C

42*2=84

31*2=62

5*7=35

4*2 = 8

Solution: (From 2: means 2nd line etc:)

From 2: G=1 because A*G = A (A is not 5, because then from 1, F should also be 5)

From 4: F*A has to be a single number so it can only be 2*3 or 2*4 (or vice versa) and C can only be 6 or 8

There are four possibilities here,

4*2 = 8

2*4 = 8

3*2 = 6 or

3*2 = 6

They would give from 1:

42*2 (=84)

24*4 (=92)

32*2 (=64) or

23*3 (=69)

Can't be 2*4 or 3*2 (because 92 and 69 are not possible), so

A=2

From 2: B is twice something, so it can only be 4 6 or 8 (not 2 because it's already known)

D is half 4 6 or 8, so it can only be 2, 3, or 4

From 3: All the possible combinations of numbers multiplied that would give a two digit number: (Eliminate any with 1 or 2 in the product eg 3*7=21 or 3*8=24 etc)

4*8 =32

5*6 =30

5*7 =35

5*8 =40

6*7 =42

6*8 =48

The second term of the product must be one of the numbers multiplied by each other, so eliminate any that don't fit in here leaving:

5*7 =35

6*8 =48

So, filling in what's known so far:

F2*2=CF

D1*2=B2

H*E=DH

F*2 = C

From 1: F=4, then C = 8

From 2: B = 6

From 3: H*E = 5*7 or 5*7 = 35 D=3 H= 5, so E = 7

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