The right pan contains the weight labeled 90.
That side also weighs 90.
The small balance itself is balanced because both sides are equal.
When the entire balanced scale hangs from the large balance, the hook carries the combined weight of both sides.
So the total load hanging from the right side of the large balance is 90 plus 90.
That gives us 180.
Now compare both sides of the large balance.
The left side weighs two white balls plus one pink ball.
The right side weighs 180.
Since the large balance is level, both sides must be equal.
Write the equation.
Two white balls plus 30 equals 180.
Subtract 30 from both sides.
Two white balls equal 150.
Now divide by two.
Each white ball weighs 75.
That is the correct answer.
The white ball weighs 75.
This puzzle is a great reminder that careful observation is often more important than fast calculation.
The number 90 is not the final clue.
The real trick is understanding what the large balance is actually holding.
If you notice that the hook supports the entire small balance instead of just one side, the solution becomes clear.
Many people answer 30 or 45 because they forget that both sides of the hanging balance contribute to the total weight.
Once you avoid that mistake, the math is straightforward.
The correct weight of the white ball is 75.
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