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Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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The sum of the three sides is either even, or odd. Even: e + e + e e + o + o Odd: o + o + o o + e + e Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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Even: e + e + e e + o + o Odd: o + o + o o + e + e Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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Even: e + e + e e + o + o Odd: o + o + o o + e + e = = 12 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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Even: e + e + e= = 12 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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Even: e + e + e= = 12 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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Even: e + e + e= = 12 e + e = o + o Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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Even: e + e + e= = 12 e + e = o + o Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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Even: e + e + e= = 12 e + e = o + o Not possible! 2 must be placed in the middle. Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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6 2 4 Even: e + e + e= = 12 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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Even: e + e + e= = 12 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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Even: e + e + e e + o + o Odd: o + o + o o + e + e = = 12 = = 9 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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Odd: o + o + o= = 9 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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e + e = o + o Odd: o + o + o= = 9 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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e + e = o + o Odd: o + o + o= = 9 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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e + e = o + o Odd: o + o + o= = 9 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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e + e = o + o Not possible! 5 must be placed in the middle! Odd: o + o + o= = Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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1 5 3 Odd: o + o + o= = 9 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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Odd: o + o + o= = 9 Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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Even: e + e + e e + o + o Odd: o + o + o o + e + e = = 12 = = 9 odd at vertex Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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e + o = e + o Even: e + o + oodd at vertex Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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1 53 Even: e + o + oodd at vertex Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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Even: e + o + oodd at vertex Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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Even: e + e + e e + o + o Odd: o + o + o o + e + e = = 12 = = 9 odd at vertex even at vertex Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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e + o = o + e Odd: o + e + eeven at vertex Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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Odd: o + e + eeven at vertex Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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Odd: o + e + eeven at vertex Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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Fill in the numbers 1-6 in each circle so that the sum of the three numbers on each side are equal.

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Choosing numbers randomly does not quickly lead to an answer. Solving the problem requires reasoning and simple computations. Prerequisites: Addition & Subtraction; Understanding of even and odd numbers. The problem is cracked when students deduce additional facts from the limited information provided.

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