## SymbolsMath 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? ## Answer1 = 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 Hide ## What Next?
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