Looking for a fun and simple brain challenge?
The Three Symbols Puzzle is a perfect logic puzzle for kids, adults, and beginners. It uses only three shapes:
- ▲ Triangle
- ● Circle
- ▢ Square
Your goal is simple but exciting:
👉 Find the value of the Square (▢).
This puzzle improves logic, reasoning, number sense, and problem-solving skills.
🔷 The Puzzle
You are given these three shape equations:
1️⃣ ▲ + ▲ + ● = 20
2️⃣ ● + ▢ = ▲
3️⃣ ▢ + ● + ▲ = 27
❓ Question:
What is the value of the Square (▢)?
Try the puzzle first.
Then scroll down for the full beginner-friendly solution.
Answer
✅ Step-by-Step Solution
This solution is written in the simplest way possible.
No shortcuts. No advanced math.
Just clear logic.
Step 1: Understand Equation 2
Equation 2 says:
● + ▢ = ▲
This means:
➜ Triangle = Circle + Square
We will use this to replace triangles in the other equations.
Step 2: Substitute in Equation 1
Equation 1:
▲ + ▲ + ● = 20
Replace both ▲ with (● + ▢):
(● + ▢) + (● + ▢) + ● = 20
Now add them:
2● + 2▢ + ● = 20
3● + 2▢ = 20
We call this:
➡️ Equation A: 3● + 2▢ = 20
Step 3: Substitute in Equation 3
Equation 3:
▢ + ● + ▲ = 27
Replace ▲ with (● + ▢):
▢ + ● + (● + ▢) = 27
▢ + ● + ● + ▢ = 27
2▢ + 2● = 27
Now simplify by dividing both sides by 2:
▢ + ● = 13.5
This gives:
➡️ Equation B: ▢ + ● = 13.5
But from Equation 2, we know:
▲ = ▢ + ●
So:
➜ ▲ = 13.5
Now we have the Triangle value.
Step 4: Find the Circle (●)
Use Equation 1 again:
▲ + ▲ + ● = 20
Plug in ▲ = 13.5:
13.5 + 13.5 + ● = 20
27 + ● = 20
● = 20 – 27
➜ ● = –7
Step 5: Find the Square (▢)
Use Equation 2:
● + ▢ = ▲
Substitute values:
–7 + ▢ = 13.5
▢ = 13.5 + 7
▢ = 20.5
🎉 Final Answer
🟩 The value of the Square (▢) is: 20.5
It’s a logic puzzle using triangles, circles, and squares to represent hidden numbers. You solve the puzzle by using three simple equations.
Yes! This version includes a very simple step-by-step solution.
Logical thinking, number sense, reasoning, and problem-solving.
Absolutely — it’s perfect for social media, blogs, and learning pages.
📢 Final Call to Action
Did you solve the puzzle before checking the answer?
Comment your answer below!
For more fun challenges, explore our optical illusions, math puzzles, and memory challenges on our website.
🧠 Want another challenge?
Try this visual puzzle and test your observation skills:
👉 Find 2 Different Mushrooms Optical Illusion Challenge
Think this was easy? 👉 Try this next-level puzzle challenge.