What is Number Balance?

Number Balance is a math puzzle game where you place numbers on a balance beam at various distances from the center fulcrum. Each number's weight is multiplied by its distance. Your goal is to make both sides equal so the beam is perfectly balanced.

How does the torque calculation work?

Torque equals the number value multiplied by its distance from the center. For example, placing a 3 at distance 2 creates a torque of 6. The left and right sides must have equal total torque for the beam to balance.

Are all Number Balance puzzles solvable?

Yes! Every puzzle is generated with exactly one correct solution. The numbers are specifically chosen so that there is one unique arrangement that balances the beam.

What do the distance markers mean?

The distance markers (×1, ×2, ×3, etc.) show how far each position is from the center. A number placed at ×3 has three times more effect on the balance than one placed at ×1.

Number Balance

Place numbers on the beam so both sides balance perfectly!

Placed

0 / 0

Time

00:00

Level

Place numbers to balance the beam

Available Numbers

Click a number, then click an empty slot on the beam

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Game Introduction

Overview

Number Balance is a satisfying math puzzle where you place numbers on a balance beam to make it perfectly level. Each position on the beam has a distance multiplier — the farther from the center, the more effect a number has on the balance.

Some numbers are already placed as clues. Your job is to figure out where the remaining numbers go so that the total weight on the left equals the total weight on the right.

Rules

Each position on the beam has a distance from the center (x1, x2, x3...)
The "torque" at each position = number value x distance
The beam balances when left-side torque equals right-side torque
Blue numbers are fixed clues — they cannot be moved
Place all remaining numbers from the pool into empty slots
Each puzzle has exactly one correct solution

Controls

Click a pool number: Select it (glows orange)
Click an empty slot: Place the selected number there
Click a placed (green) number: Return it to the pool
Check: Verify if your solution is correct
Hint: Auto-place one number in its correct position
Undo: Reverse your last placement or removal

Scoring

Time: Solve the puzzle as quickly as possible
Levels: Complete puzzles to advance to the next level
Hints Used: Try to solve without hints for the best experience

The beam tilts in real-time as you place numbers, giving you visual feedback on how close you are to the solution!

Tips

Start by calculating the total torque of the fixed (blue) numbers
Numbers at high-distance positions (x4, x5) have the most impact
Watch the beam tilt — it shows which side needs more weight
Try the largest remaining number first at different positions
If stuck, use the Hint button to reveal one correct placement
Remember: torque = number x distance from center

FAQ

Q: Are all puzzles solvable?
A: Yes! Every puzzle has exactly one unique solution that perfectly balances the beam.

Q: What does the distance multiplier mean?
A: A number placed at position x3 contributes 3 times its value to that side's torque. Position x1 contributes just 1 times its value.

Q: Why does the beam tilt even when I haven't placed all numbers?
A: The beam shows the current state of balance based on all numbers currently on the beam (both fixed and placed). It updates in real-time as you add or remove numbers.

Q: Can I remove a number I placed?
A: Yes! Click on any green (player-placed) number to return it to the pool. Blue numbers are fixed and cannot be removed.