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Tyrannical said:
Gnizmo said:

A is 11, B is 4, C is 6. Too easy.

 

 OK, a harder one

 

A * B * C = 528

A * C = 78

B * C = 84

 

Simple

  • ABC = x
  • AC = y
  • BC = z

C = z/B
B = z/C

A = y/C
C = y/A

y/C * z/C * C = x
Cyz/C2 = x
yz/C = x
C = yz/x

A * yz/x = y
A = x/z

x/z * B * yz/x = x
Byz/x = z
B = zx/zy = x/y

  • A =x/z
  • B = x/y
  • C = yz/x

Check it, it works

  • ABC = x: x/z * x/y * yz/x = x2yz/xyz = x
  • AC = y:   x/z * yz/x = xyz/xz = y
  • BC = z:   x/y * yz/x = xyz/xy = z