Move Three Numbers to Equal 20: The Viral Math Board Puzzle Solved
Math riddles and wooden board logic puzzles are famous for challenging our basic arithmetic and lateral thinking skills.
A viral visual puzzle showing a set of circular wooden number tokens and three empty slots asks a straightforward question:
“Move three numbers so that the result equals 20”
The board displays three empty slots linked by addition signs:
Below the slots are eight available number tokens: 7, 8, 4, 6, 11, 19, 17, 5.
Below, we analyze how to solve this math puzzle using simple addition and clever problem-solving techniques!
The Standard Math Solution
To make three numbers add up to 20, we look for three numbers from the set whose sum equals 20.
Let’s test the numbers available: $\{4, 5, 6, 7, 8, 11, 17, 19\}$.
Finding the Combination:
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Take 11, 5, and 4:
All three numbers (11, 5, and 4) are present on the board! Moving these three tokens into the slots yields a mathematically sound and direct solution.
Alternative Solutions & Creative Tricks
In viral brain teasers, creators often include visual “tricks” or alternative interpretations:
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Inverting the 6 Token:
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If you flip/rotate the 6 token upside down, it becomes a 9.
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Then: $7 + 8 + 5 = 20$, or $9 + 7 + 4 = 20$, or $9 + 6 + 5 = 20$.
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Order Variations:
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Addition is commutative, so any order of 11, 5, and 4 works (e.g., $4 + 5 + 11 = 20$ or $5 + 11 + 4 = 20$).
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Number Token Availability Matrix
| Token Value | Available on Board? | Used in Primary Solution? |
| 4 | Yes (Top row, 3rd token) | Yes |
| 5 | Yes (Bottom row, 4th token) | Yes |
| 6 | Yes (Top row, 4th token) | No (Optional upside-down 9) |
| 7 | Yes (Top row, 1st token) | No |
| 8 | Yes (Top row, 2nd token) | No |
| 11 | Yes (Bottom row, 1st token) | Yes |
| 17 | Yes (Bottom row, 3rd token) | No |
| 19 | Yes (Bottom row, 2nd token) | No |
Conclusion
The direct, standard answer is to move 11, 5, and 4 into the three slots, since $11 + 5 + 4 = 20$.
Frequently Asked Questions (FAQ)
Is 11 + 5 + 4 the only direct solution using the exact numbers shown?
Yes! Among the given set of numbers without rotating any tokens, 11 + 5 + 4 = 20 is the only combination of three distinct numbers that equals 20.
Can you use a number more than once?
The puzzle states to “move three numbers,” implying you pick three physical tokens from the board. Thus, each token can only be moved once.
