Fill the magic triangle with numbers 1-9 so that the numbers on each side add up to 20.
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Solution
In a magical triangle, we have the same sum on each side.
Let's start from the left side. As we can see, out of four stars two stars are already filled with 5 and 1 respectively and we have to maintain the sum 20. So two stars +6=20, 2 stars will be 14 as sum. Let's break 14 into 6 and 8 and fill 6 in second stars and 8 in third stars.
Let's start again from the right side. As we can see, out of four stars two stars are already filled with 5 and 9 respectively and we have to maintain the sum 20. So two stars + 14=20, 2 stars will be 6 as sum. Let's break 6 into 2 and 4 and fill 2 in second stars and 4 in third stars.
Now, for the bottom side. As we can see, out of four stars two stars are already filled with 1 and 9 respectively and we have to maintain the sum 20. So two stars + 10=20, 2 stars will be 10 as sum. Let's break 10 into 3 and 7and fill 3 in second stars and 7 in third stars.