Algebra & Equations · Question 28 · Hard

If x + y = 10, y + z = 14 and z + x = 12, what is the value of xyz?

  1. 240
  2. 210
  3. 192
  4. 168
Answer and explanation

Answer: C. 192

Explanation: Adding all three: 2(x + y + z) = 36, so x + y + z = 18. Then z = 8, x = 4, y = 6, and xyz = 4 × 6 × 8 = 192.

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