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How much is "?" ? (Posted on 2017-05-13) Difficulty: 3 of 5
2 & 5 =14
3 & 1= 23
100 & 8= 25
100 & 100= 27
16 & 6 =33
17 & 11= 46

7 & 11 = ?

No Solution Yet Submitted by Ady TZIDON    
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ugly but works Comment 1 of 1
First I looked for a linear two-variable function that fit the given data, namely a function f[x,y]=a*x+b*y+c for some a,b,c that would exactly fit the given data points.  Since that failed I increased the degree by 1 to include all second degree combinations of variables x,y namely
f(x,y)=a*x+b*y+c*x^2+d*y^2+e*x*y+f
I was able to find one that exactly fits the data points namely
f(x,y)=(309387967984 - 39145241276 x - 434958311 x^2 + 10320649220 y + 
 10959785095 x y - 10241576646 y^2)/9608523792

using this we get f(7,11)=-44623643103/1601420632
or approximately -27.865

  Posted by Daniel on 2017-05-13 13:25:31
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