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If the average (arithmetic mean) of 3, 8 and w is greater than or equa
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18 Jan 2024, 02:28
18 Jan 2024, 02:28
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If the average (arithmetic mean) of 3, 8 and w is greater than or equal to w and smaller than or equal to 3w, how many integer values of w exist?
(A) Five
(B) Four
(C) Three
(D) Two
(E) One
(A) Five
(B) Four
(C) Three
(D) Two
(E) One
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If the average (arithmetic mean) of 3, 8 and w is greater than or equa
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18 Jan 2024, 15:57
18 Jan 2024, 15:57
1
The average of the values is
\(\frac{3+8+w}{3}\)
The inequality is
\(w ≤ \frac{3+8+w}{3} ≤ 3w\)
\(3w ≤ 11+w ≤ 9w\)
\(2w ≤ 11 ≤ 8w\)
The integer values of w that satisfy the inequality are 2, 3, 4, and 5.
\(\frac{3+8+w}{3}\)
The inequality is
\(w ≤ \frac{3+8+w}{3} ≤ 3w\)
\(3w ≤ 11+w ≤ 9w\)
\(2w ≤ 11 ≤ 8w\)
The integer values of w that satisfy the inequality are 2, 3, 4, and 5.
gmatclubot
If the average (arithmetic mean) of 3, 8 and w is greater than or equa [#permalink]
18 Jan 2024, 15:57
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