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

MaiaMitchell
Aug 15, 2015

#4**+10 **

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!!!!!

CPhill
Aug 15, 2015

#4**+10 **

Best Answer

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!!!!!

CPhill
Aug 15, 2015