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There are 5 overlapping circles place one of the numbers 1 to 9 in each space so that the total in each circle is the same but you are only allowed to use a number once?
Wiki User
∙ 11y ago
The answer will depend on the configuration of the circles: they could overlap only pairwise - a bit like the Olympic rings, or they could have regions where several circles overlap.
One configuration could be as follows. In order to visualize the circles, draw them yourself, following these instructions carefully:-
Draw your first circle, maybe about 8cm in diameter. Write '5' in the center.
Draw another circle to the left, with its center about 0.5 cms inside the circumference of the 1st circle, ensuring that the '5' is within this second circle. Write a small '1' just right of center of this second circle, and '9' in the open space of this second circle, i.e. to the far left.
Draw a lower circle in the same way, with its center about 0.5 cm up from the circumference of the 1st circle, ensuring that the '5' is within this third circle. Write a small '4' just above center of this third circle, and '6' in the open space of this third circle, i.e. at the bottom.
Draw a circle to the right in the same way, with its center about 0.5 cm in from the circumference of the 1st circle, ensuring that the '5' is also within this fourth circle. Write a small '3' just left of center of this fourth circle, and '7' in the open space of this fourth circle, to the far right.
Finally, draw an upper circle, with its center about 0.5 cm down from the circumference of the 1st circle, ensuring that the central '5' is also within this fifth circle. Write a small '2' just below center of this fifth circle, and write '8' in the above open space of this circle.
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You will have five circles and will have used each number 1 to 9 only once, each within its own space.
Your central circle will have 5,1,4,3,2 (total 15) within its boundaries.
The left circle will have 9,1,5 (total 15) within its boundaries.
The bottom circle will have 5,4,6 (total 15) within its boundaries.
The right circle will have 5,3,7 (total 15) within its boundaries.
The top circle will have 8,2,5 (total 15) within its boundaries.
And all the requirements of this puzzle are fulfilled.
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Wiki User
∙ 11y ago
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