Digit sums is one of my favorite JRMF activities, both intriguing and challenging. What do you think about it? Feel free to share thoughts, solutions, and alternative ways to explore the problem.
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Digit sums is one of my favorite JRMF activities, both intriguing and challenging. What do you think about it? Feel free to share thoughts, solutions, and alternative ways to explore the problem.
Does this have a solution. Any clues?
Senthil, If you think that it doesn't have a solution, could you give an explanation as to why it doesn't?
Anna, my understanding of this problem was
The four circles should add up to 15
Two Circles each should should add up to 15 too.
Is this correct?
Hi Senthil.
To clarify, any circle needs to equal the sum of the digit sums of all connected circles. As an example, I'll use the first Flower from the slides.
The digit sum of 12 = 3.
The digit sum of 3 = 3.
The left most circle has one connection. The circle needs to equal the digit sum of the connected circle. DS(12) = 3
The same is true for each other outside circle.
The center circle has four connections and needs to equal the sum of the digit sums of the connected circles. Since the digit sum of 3 = 3, this means the center circle needs to equal 3 + 3 + 3 + 3.
Does this clarify things?
As you work on your example, feel free to check your work using the digital app.
So, when I try to solve it like this, I feel, I am misunderstanding the problem. (6+6+6+6 = 24 = 2+4 = 6) (15 = 1+5 =6)
It's possible there isn't a solution =)
I know that there is not a solution because 1+5=6 so in all the outside boxes there must be a 6. But 6+6+6+6=24 so there is no answer.