Four Marathon Runners

Four marathon runners, each identified with a distinct positive integer, are sitting around a table. Each of them notices that their own number has a common divisor (greater than 1) with the number of the runner sitting on their right but none with the number of the runner sitting across.

If the sum of the four runners' numbers is 299, what is the largest of the four?


The answer is 130.

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1 solution

{ 130 , 91 , 63 , 15 } \left\{130,91,63,15\right\}

solution please .cant solve

Sefat Bin musa - 2 years, 5 months ago

I couldn't solve this. But one insight I had is that exactly one of the numbers must be even.

Joe Mansley - 5 months, 2 weeks ago

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