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2002 AMC 10AProblem 16P16-20~3 minPrint
Systems of EquationsSubstitute to simplify (u = x+1/x, shifting, scaling)

Let a+1=b+2=c+3=d+4=a+b+c+d+5a + 1 = b + 2 = c + 3 = d + 4 = a + b + c + d + 5 . What is a+b+c+da + b + c + d ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.