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# What is the average (arithmetic mean) of a and b? (1) The average (ar

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GMAT 1: 700 Q49 V33
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What is the average (arithmetic mean) of a and b? (1) The average (ar  [#permalink]

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28 Dec 2017, 21:43
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Difficulty:

5% (low)

Question Stats:

84% (00:55) correct 16% (01:02) wrong based on 79 sessions

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What is the average (arithmetic mean) of a and b?

(1) The average (arithmetic mean) of a + 2 and b + 7 is 12

(2) The average (arithmetic mean) of a, b and 6 is 7
Math Expert
Joined: 02 Sep 2009
Posts: 52905
Re: What is the average (arithmetic mean) of a and b? (1) The average (ar  [#permalink]

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28 Dec 2017, 22:23
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What is the average (arithmetic mean) of a and b?

The question asks to find the value of (a + b)/2, so basically the value of a + b.

(1) The average (arithmetic mean) of a + 2 and b + 7 is 12 --> (a + 2 + b + 7)/2 = 12 --> a + b = 15. Sufficient.

(2) The average (arithmetic mean) of a, b and 6 is 7 --> (a + b + 6)/3 = 7 --> a + b = 15. Sufficient.

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Re: What is the average (arithmetic mean) of a and b? (1) The average (ar  [#permalink]

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02 Oct 2018, 19:01
chesstitans wrote:
What is the average (arithmetic mean) of a and b?

(1) The average (arithmetic mean) of a + 2 and b + 7 is 12

(2) The average (arithmetic mean) of a, b and 6 is 7

We need to determine the average of a and b.

Statement One Alone:

The average (arithmetic mean) of a + 2 and b + 7 is 12.

We can create the equation:

(a + 2 + b + 7)/2 = 12

a + b + 9 = 24

a + b = 15

Thus, the average of a and b is 7.5. Statement one alone is sufficient.

Statement Two Alone:

The average (arithmetic mean) of a, b and 6 is 7

We can create the equation:

(a + b + 6)/3 = 7

a + b + 6 = 21

a + b = 15

Again, the average of a and b is 7.5. Statement two alone is sufficient.

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Re: What is the average (arithmetic mean) of a and b? (1) The average (ar   [#permalink] 02 Oct 2018, 19:01
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