top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

What were the five numbers and in what order?

+1 vote
367 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?

+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

Working from left to right, calculate the numbers in the order shown (without using order of operation).

Replace each question mark with a mathematical sign.

Plus, minus, multiply and divide can each be used once only.

What are the highest and lowest numbers you can possibly score?

8 ? 2 ? 4 ? 7 ? 6 = ?

0 votes

Working from left to right, calculate the numbers in the order shown (without using order of operation).

Replace each question mark with a mathematical sign. Plus, minus, multiply and divide can each be used once only.

In which order should they be used to score 1?

2 ? 3 ? 8 ? 6 ? 4 = 1

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)

...