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tmua.me Medium Set F Paper 1 · Q7

Paper 1Algebra

Real numbers xx, yy and zz satisfy

xy+x+y=5,yz+y+z=11,zx+z+x=7.xy+x+y=5,\qquad yz+y+z=11,\qquad zx+z+x=7.

What is the sum of all the distinct possible values of xyzxyz?

A−60-60
B−54-54
C−52-52
D00
E66
F5454

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