Alex, my very mathematical but forgetful friend, made an elaborate code to remember the 10-digit combination to his bicycle lock. He came up with:
A – K – B – J – C – H – D – G – E – F
where each letter stands for a different digit (0-9).
Sometimes a scatterbrain, he wanted to make sure that he would remember his combination, so he wrote down this series of mathematical clues:
1) D + D + D = F
2) B / H = K
3) J / D = K
4) H + H = B
5) D x H = CK
6) D / J = H / B
7) G + B + E = F + A + C
8) A x H = KE
9) J + A = CC
10) F x D = KG
What is the 10-digit combination to Alex’s bicycle lock?
Note: CK, KE, CC, & KG are two-digit numbers.
Answer
A = 5, B = 8, C = 1, D = 3, E = 0, F = 9, G = 7, H = 4, J = 6, K = 2
The combination is 5-2-8-6-1-4-3-7-0-9.
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