*A man wanted to get into his office building, but he had forgotten his password. However, he did remember five clues:*

- The fifth number plus the third number equals fourteen.

- The fourth number is one more than the second number.

- The first number is one less than twice the second number.

- The second number plus the third number equals ten.

- The sum of all five numbers is 30.

What are the five numbers?

- The fifth number plus the third number equals fourteen.

- The fourth number is one more than the second number.

- The first number is one less than twice the second number.

- The second number plus the third number equals ten.

- The sum of all five numbers is 30.

What are the five numbers?

Goodness! All is given.. What took me so long to figure it out...

My solution:

**a + b + c + d + e = 30**

Clues:

e + c = 14

d = 1 + b

a = 2b - 1

b + c = 10

sum of all is 30

(2b - 1) + b + (10 - b) + (b + 1) + [14 - (10 - b)] = 30

2b - 1 + b + 10 - b + b + 1 + 14 - 10 + b = 30

4b + 14 = 30

4b = 30 - 14

4b = 16 (at first my answer here is 18... hahahah! 30 - 14 is 18.. tsk tsk... so i need to go back and find another solution... didn't i made my world complicated? heheheh)

**b = 4**

a = 2b - 1

a = 2(4) - 1

a = 8 - 1

**a = 7**

c = 10 - b

c = 10 - 4

**c = 6**

d = b + 1

d = 4 + 1

**d = 5**

eto matindi...

my first checking is

e = 14 - (10 - b)

e = 14 - 10 - 4 (o di ba mali.. heheheh!)

e = 0 (waaaa! it cannot be! jojo laughed... mali daw solution ko... kaya i changed my approach.. pero i figured that mali ung - 4 dun.. it should be + 4)

e = 14 - b

e = 14 - 6

e = 8