twesterm on 23 December 2008
Tyrannical said:
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