Math Logic Puzzle

by on February 20, 2012 » Add the first comment.
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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

TEST

7 + 4 + 6 + 5 + 8 = 30

11 + 11 + 8 = 30

 

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