### Brain Teasers

# Bicycle Lock

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.

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 = 2The combination is 5-2-8-6-1-4-3-7-0-9.

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