This puzzle was part of a competition at my school, over two weeks ago. The school never disclosed the answer, so I'd like to check that I answered it correctly.

What number does each color in the image represent?

enter image description here

  • $\begingroup$ Editing a question to crop out the context is not proper attribution. $\endgroup$
    – Deusovi
    Apr 26 '20 at 16:54
  • $\begingroup$ @Deusovi MissNature is new to SE, but has done this before. $\endgroup$
    – Galen
    Apr 26 '20 at 17:05
  • 1
    $\begingroup$ Questions from other sources must be properly attributed, with full credit given to the question's creators (and a link directly to the source if it's online). $\endgroup$
    – Deusovi
    Apr 26 '20 at 18:03
  • 1
    $\begingroup$ it's over 2 weeks ago but they never disclose the answer so i would lile to make sure i answerd it correctly 158 $\endgroup$
    – MissNature
    Apr 26 '20 at 22:07
  • 1
    $\begingroup$ I've edited that information into the question and voted to re-open. $\endgroup$
    – F1Krazy
    Apr 27 '20 at 8:28

Let black be $x$.

The sum of the right-most column is $3x$, which produces a number ending with $x$. The only values of $x$ for which this can happen are 0 and 5.

If we exclude $x=0$ so that the colours are distinct digits, the sum at the bottom is 555.

Dividing by 3 gives you each row:




Let $B$ be the digit represented by the black circle. The main image tells us that $B+B+B=B\pmod{10}$


$2B\equiv 0\pmod {10}$, and therefore $B=0$ or $B=5$.


because all the digits are different, $B=5$ as $B=0$ would mean everything is zero

and as

the three addends are the same, and $\frac{555}{3}=185$, we have:
white is $1$, orange is $8$ and black is $5$.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.