Symbols
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?
Answer
1 = G
2 = 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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