# The Crown Puzzle

Okay, I found this problem on the internet, so its obviously not original, but its really tricky, and I liked it a lot, even though its pretty simple. Here it is -

So, I will be posting the solution below shortly. If you got this right in the first try and didn't get confused, share it in the comments. If you have a solution that is different than what I have given, please share that too. That's all folks...

Note by Percy Jackson
1 month, 1 week ago

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$Key:$ $\color{#3D99F6}Blue gem=B$ $\color{#D61F06}Red gem=R$ $\color{#CEBB00}Crown=C$ $\color{#EC7300}Ring=O$ (to make the explanation simpler, I got rid of the + sign so for example of a crown with red gem, I use CR instead, and it's not multiplication.)

Let's list the information: $\color{#CEBB00} \text{C} \color{#D61F06} \text{R} \color{#333333} \text{ + } \color{#CEBB00} \text{C} \color{#D61F06} \text{R} \color{#333333} \text{ + } \color{#CEBB00} \text{C} \color{#D61F06} \text{R} \color{#333333} \text{ = 24}$

$\color{#3D99F6} \text{B} \color{#EC7300} \text{O} \color{#333333} \text{ + } \color{#3D99F6} \text{B} \color{#EC7300} \text{O} \color{#333333} \text{ + } \color{#CEBB00} \text{C} \color{#D61F06} \text{R} \color{#333333} \text{ = 22}$

$\color{#3D99F6} \text{BB} \color{#333333} \text{ + } \color{#3D99F6} \text{BB} \color{#333333} \text{ + } \color{#3D99F6} \text{B} \color{#EC7300} \text{O} \color{#333333} \text{ = 19}$

$\color{#D61F06} \text{RR} \color{#333333} \text{ + } \color{#D61F06} \text{RR} \color{#333333} \text{ + } \color{#CEBB00} \text{C} \color{#D61F06} \text{R} \color{#333333} \text{ = 16}$

1. For the first line we already know the $\color{#CEBB00} \text{C} \color{#D61F06} \text{R} \color{#333333} = 24 \div 3 = 8$, so $\color{#CEBB00} \text{C} \color{#D61F06} \text{R} \color{#333333} \text{ = 8}$

2. $22 - \color{#3D99F6} \text{B} \color{#EC7300} \text{O} \color{#333333} - \color{#3D99F6} \text{B} \color{#EC7300} \text{O} \color{#333333} - \color{#CEBB00} \text{C} \color{#D61F06} \text{R}$ $= 22 - 2\color{#3D99F6} \text{B} \color{#EC7300} \text{O} \color{#333333} - 8$ $= 14 \div 2$ $\color{#3D99F6} \text{B} \color{#EC7300} \text{O} \color{#333333} \text{ = 7}$

3. $19 - 7 = 2BB$ $12 \div 4 = B$ $B = 3$

4. $16 - 8 = 2RR$ $8 \div 4 = R$ $R =2$

Now we get all the information, Let's summarise them:

$CR = 8$ $BO = 7$ $B = 3$ $R = 2$ $\text {and we can tell}$ $C = 6$ $O = 4$

Now, for the solution, $CB + RB \times RO$ $= 9 + 5 \times 6$ $= 39$

- 1 month, 1 week ago

You are the first to actually get it right! Lam got it wrong

- 1 month, 1 week ago

lol I experienced this kind of problem before, but they are harder to guess. Like one of the figures is a shirt with a whistle(barely noticeable), and at the end it ask how much was a shirt.

- 1 month, 1 week ago

lol yeah, even I didn't notice before I got to the last line, then it became easy :)

- 1 month, 1 week ago

plz upvote.

- 1 month ago

Done!

- 1 month ago

@Percy Jackson

$3RC=24\Rightarrow RC=\frac{24}{3}=8\\ 2BR+RC=22\Rightarrow BR=\frac{22-8}{2}=7\\ 4BD+BR=19\Rightarrow BD=\frac{19-7}{4}=3\\ 4RD+RC=16\Rightarrow RD=\frac{16-8}{4}=2, BC=8+(3-2)=9, RR=7-(3-2)=6\\ BC+(RD+BD)×RR=9+(2+3)×6=\boxed{39}$

- 1 month, 1 week ago

lol you just changed it.

- 1 month ago

lol

- 1 month ago

i cant believed i got trolled by the button

- 1 month, 1 week ago

It isn't troll, its incomplete

- 1 month, 1 week ago

bruh

- 1 month, 1 week ago

just checked it again... still a troll

- 1 month, 1 week ago

Lol so true @Percy Jackson

- 1 month ago

Ya, I trolled you guys, yet gave you the solution, it is do complete now....

- 1 month ago

hahaha, @NSCS 747 you never know what is inside the buttons!

- 1 month ago

That last multiplicative is sneaky sneaky...

- 3 days, 1 hour ago

lol yea

- 3 days, 1 hour ago