top button
Flag Notify
    Connect to us
      Facebook Login
      Site Registration

Facebook Login
Site Registration

What were the five numbers and in what order?

+1 vote
237 views

A man wanted to get into his work building, but he had forgotten his code. However, he did remember five clues. These are what those clues were:

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 were the five numbers and in what order?

posted Jun 9, 2014 by Divya Bharti

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer

+1 vote

The code is 74658

Solution
let the number be abcde

The fourth number is one more than the second number.ie d = 1+b
The first number is one less than twice the second number. ie a = 2b-1
The second number plus the third number equals ten. ie b+c=10 c=10-b
The fifth number plus the third number equals fourteen ie e+c=14 e=14-c ie e= 14 - (10-b)

The sum of all five numbers is 30. ie a+b+c+d+e = 30
(2b-1) + b + (10-b) + (1+b) + [14-(10-b)] = 30
4b + 14 = 30
4b = 16
b=4

After getting b, we can get all other digits as per the above equations

And the answer is 74658

answer Jun 17, 2014 by Rohith Tp



Similar Puzzles
+2 votes

If all 1-digit numbers are arranged in alphabetical order, they are eight, five, four, nine, one, seven, six, three, two. Here, eight comes first, and two comes last.

If all 3-digit numbers are arranged in alphabetical order, which number comes first, and which number comes last?

0 votes

A plane was returning from the Olympic Games with five athletes who placed first through fifth in an event. They made the following statements:
A: "I was not the last"
B: "C was the third"
C: "A was behind E"
D: "E was second"
E: "D was not the first."
On account of modesty or for some other reason, the gold and silver medallists lied. The three worst athletes told the truth.
What order did they all place in?

+2 votes

Using the numbers 3, 3, 3, 7, 7 & 7 (in any order), can you find a mathematical expression with a result equal to 232?

You may use any of the four basic operations (addition, subtraction, multiplication and division) as well as parenthesis.

You are not allowed to join numbers together. (e.g. 3 & 7 to make 377.)

0 votes

Using the numbers 1, 2, 2, 5, 6 & 7 in any order, can you find a mathematical expression with a result equal to 160?

The conditions are as follows;

You may use any of the four basic operation (which are addition, subtraction, multiplication & division).
You can also use parenthesis if needed.
You cannot repeat the numbers.
You cannot join the numbers together (eg: 1 & 2 as 12)

0 votes

With the numbers 123456789, make them add up to 100.

They must stay in the same order. (1 to 9)

You can use addition, subtraction, multiplication, and division.

Contact Us
+91 9880187415
sales@queryhome.net
support@queryhome.net
#280, 3rd floor, 5th Main
6th Sector, HSR Layout
Bangalore-560102
Karnataka INDIA.
QUERY HOME
...