One man wanted to get in to his work, but he forgot his PIN.

Although, he remembered certain clues for his PIN.

(Here are the 5 clues)

A | *The 1st number is 1 less than twice the 2nd number | A = 2B – 1 |

B | *The 2nd number plus the 3rd number equals 10 | B + C = 10 |

C | *The 3rd number is not yet mentioned, but based on the clue for E… | C + E = 14 |

D | *The 4th number is 1 more than the 2nd number | D = B + 1 |

E | *The 5th number plus the 3rd number equals 14 | E = 14 – C |

ABCDE | *Adding all the numbers equals 30 | A+B+C+D+E=30 |

Logic Follows

A = 2B – 1

B = 10 – C

C = 14 – E

D = B + 1

E = 14 – C

–

A =

–

B = D – 1

B = A + 1

B = 10 – C

C = 14 – E

–

A + B + C + D + E = 30

20 – 2C – 1 + 10 – C + C + 10 – C + 1 + 14 – C = 30

20 – 2C – 1 + 20 – C + 15 – C = 30

39 – 2C – C + 15 – C = 30

54 – 4C = 30

4C = 24

C = 6

–

A + B + C + D + E = 30

A + B + 6 + D + E = 30

Title Math Logic Puzzle

SOLVE FOR B = B = 4

SOLVE FOR A = A = 7

SOLVE FOR D = D = 5

SOLVE FOR E = E = 8

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TEST

7 + 4 + 6 + 5 + 8 = 30

11 + 11 + 8 = 30

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