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The average of x 1, x 2 and x 3 is 14. Twice the sum of x 2 and x 3 is 30. What is the value of x 1?

Q: The average of x 1, x 2 and x 3 is 14. Twice the sum of x 2 and x 3 is 30. What is the value of x 1?

x1 + x2 + x3 = 3 x 14 = 42 ....(i) and (x1 + x2) x 2 = 30 ⇒ x1 + x2 =15 ....(ii) From Eqs. (i) and (ii), we get x1 + 15 = 42 ∴ x1 = 42 - 15 = 27

Correct Answer: 27

Explanation:

x₁ + x₂ + x₃ = 3 x 14 = 42 ....(i)
and (x₁ + x₂) x 2 = 30
⇒ x₁ + x₂ =15 ....(ii)
From Eqs. (i) and (ii), we get
x₁ + 15 = 42
∴ x₁ = 42 - 15 = 27

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