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If 2x(x + y + z) = 250, 2y(x + y + z) = 100, 2z(x + y + z) = 100, then find the value of (3x + 6y + 15z).
- A110
- B95
- C85
- D69
Answer not set
Discussion 1
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CCommunity
2x(x + y + z) = 250 ----(1)
2y(x + y + z) = 100 ----(2)
2z(x + y + z) = 100 ----(3)
Adding equation (1), (2) and (3)
⇒ (2x + 2y + 2z)(x + y + z) = 450
⇒ (x + y + z)(x + y + z) = 225
⇒ (x + y + z) = 15
⇒ x = 25/3, y = 10/3 and z = 10/3
∴ (3x + 6y + 15z) = 95
2y(x + y + z) = 100 ----(2)
2z(x + y + z) = 100 ----(3)
Adding equation (1), (2) and (3)
⇒ (2x + 2y + 2z)(x + y + z) = 450
⇒ (x + y + z)(x + y + z) = 225
⇒ (x + y + z) = 15
⇒ x = 25/3, y = 10/3 and z = 10/3
∴ (3x + 6y + 15z) = 95