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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # If the average (arithmetic mean) of p, q and 15 is equal to the averag

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Math Expert V
Joined: 02 Sep 2009
Posts: 59018
If the average (arithmetic mean) of p, q and 15 is equal to the averag  [#permalink]

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Difficulty:   15% (low)

Question Stats: 86% (01:13) correct 14% (02:22) wrong based on 23 sessions

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If the average (arithmetic mean) of p, q and 15 is equal to the average of p, q, 15 and 35, what is the average of p and q?

(A) 40
(B) 45
(C) 50
(D) 65
(E) 75

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Joined: 31 Oct 2013
Posts: 1470
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If the average (arithmetic mean) of p, q and 15 is equal to the averag  [#permalink]

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Bunuel wrote:
If the average (arithmetic mean) of p, q and 15 is equal to the average of p, q, 15 and 35, what is the average of p and q?

(A) 40
(B) 45
(C) 50
(D) 65
(E) 75

p + q + 15/3 = p +q + 15 + 35 /4

4p +4q + 60 = 3p + 3q + 150

p + q = 90

p +q / 2 = 90 /2

p +q / 2 = 45

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Re: If the average (arithmetic mean) of p, q and 15 is equal to the averag  [#permalink]

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Bunuel wrote:
If the average (arithmetic mean) of p, q and 15 is equal to the average of p, q, 15 and 35, what is the average of p and q?

(A) 40
(B) 45
(C) 50
(D) 65
(E) 75

(p+q+15)/3 = Average of p, q, 15 and 35 = (p+q+15+35)/4

i.e. 4(p+q+15) = 3*(p+q+15+35)

i.e. 4p+4q+60 = 3p+3q+150

i.e. p+q = 90

i.e. (p+q)/2 = 90/2 = 45

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ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION Re: If the average (arithmetic mean) of p, q and 15 is equal to the averag   [#permalink] 04 Oct 2018, 00:43
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# If the average (arithmetic mean) of p, q and 15 is equal to the averag  