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# Strongbox 6 digit combination puzzle

Here is another interesting puzzle. You are asked to open a strongbox which has a six digit combination. You are given some hints and need to find combination in order to open it.

Let’s see if you can find the combination and open the strongbox ðŸ™‚

### Strongbox 6 digit combination puzzle

STRONGBOX

My strongbox has a six-digit combination that contains no zeros
and no repeated digits. The first digit is one more than the
fourth digit, and the sixth digit is three more than the second digit.
The second and fifth digits add up to the first digit, and the third
and fifth digits add up to the fourth digit. If the sum of all six digits
of the combination is 31, what is my strongbox’s combination?

In order to solve this puzzle, you’ll need to use given hints.

Solution:

Hint1: Combination is Six digit number with No ZEROS and No repeated digits.

So, it is clear that we are looking at numbers 1 to 9 for this combination.

Hint2: Sum of all six digits of the combination is 31

A+B+C+D+E+F=31

Hint3: The first digit is one more than the fourth digit.

A=D+1

Hint4: The sixth digit is three more than the second digit.

F=B+3

Hint5: The second and fifth digits add up to the first digit.

B+E=A=D+1

Hint6: The third and fifth digits add up to the fourth digit.

C+E=D

You have above 6 Hints.

You already know that numbers can be only 1,2,3,4,5,6,7,8 or 9 with no repeats.

When you solve all above equations, you’ll find combination as:

8,3,2,7,5,6

Enjoyed solving this puzzle? Then, try this riddle Exercise for one game for three .