25 Oktober 2022
I have written four numbers on a piece of paper in six different ways I can choose two and add then up. The resulting sums are 11, 15, 16, 16, 17, and 21. Now l multiply all of the four numbers on my piece of paper. What is the result?
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Penyelesaian:
Misalkan bilangan yang dicari adalah a, b, c, dan d.


Model matematika dari masalah di atas:


a+b = 11, a+c = 15, a+d =16, b + c = 16, b +  d = 17, dan c + d = 21


(a+b) - (a+c) = -4 -> b-c = -4


b+c = 16 

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2b = 12 -> b = 6 dan c = 10


a+b= 11 -> a =5 serta a + d = 16 -> d = 11


Jadi, a x b x c x d = 5 x 6 x10 x 11 = 3300


 

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