+414 What The Code Puzzle - 18 June A man desired to get into his work building, however he had forgotten his code. However, he did recollect five pieces of information * Fifth number + Third number = 14 * The fourth number is one more than the second number. * The first number is one less than twice the second number. * The second number and the third number equals 10. * The sum of all five numbers is 30. What is the code ? For Solution : Click Here
+129852 Let a, b, c, d and e be the digits in that order...so,we have the following system:
c + e = 14
d - b = 1
2b - a = 1
b + c = 10
a + b + c + d + e = 30 (5)
Notice that
c + e = 14
c + b = 10 subtracting the second equation from the first, we have
e - b = 4 → e = b + 4
And c = 10 - b
And d = 1 + b
And a = 2b - 1
And substituting all these into equation (5), we have
(2b - 1) + b + (10 - b) + (1 + b) + (b + 4) = 30 simplify
4b + 14 = 30 subtract 14 from each side
4b = 16 → b = 4
Then
c = 10 - 4 = 6
d = 1 + 4 = 5
e = 4 + 4 = 8
a = 2(4) - 1 = 7
And the code is:
abcde = 74658
Just as Anonymous found!!!!!
+129852 Let a, b, c, d and e be the digits in that order...so,we have the following system:
c + e = 14
d - b = 1
2b - a = 1
b + c = 10
a + b + c + d + e = 30 (5)
Notice that
c + e = 14
c + b = 10 subtracting the second equation from the first, we have
e - b = 4 → e = b + 4
And c = 10 - b
And d = 1 + b
And a = 2b - 1
And substituting all these into equation (5), we have
(2b - 1) + b + (10 - b) + (1 + b) + (b + 4) = 30 simplify
4b + 14 = 30 subtract 14 from each side
4b = 16 → b = 4
Then
c = 10 - 4 = 6
d = 1 + 4 = 5
e = 4 + 4 = 8
a = 2(4) - 1 = 7
And the code is:
abcde = 74658
Just as Anonymous found!!!!!
