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If the average of a and b is
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30 Jul 2023, 23:34
30 Jul 2023, 23:34
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80% (01:43) correct
20% (02:36) wrong based on 10 sessions
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If the average of a and b is m2 , average of b and c is m, and the average of a and c is 3m2 then the average of a, b, c is how many times of m?
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Post A Detailed Correct Solution For The Above Questions And Get Kudos.
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⟹ Free Materials for the GRE General Exam - Where to get it!!
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If the average of a and b is
[#permalink]
17 Sep 2023, 02:02
17 Sep 2023, 02:02
Expert Reply
OE
We are given that the average of 𝑎 and 𝑏 is 𝑚/2 , average of 𝑏 and 𝑐 is 𝑚 and the average of 𝑎 and 𝑐 is 3𝑚/2
We need to find that the average of 𝑎, 𝑏 and 𝑐 is how many times of 𝑚.
Since, the average of 𝑎 and 𝑏 is 𝑚/2
𝑎+𝑏/2= 𝑚/2
𝑎 + 𝑏 =𝑚/2× 2
𝑎 + 𝑏 = 𝑚 (eqn.1)
Average of 𝑏 and 𝑐 is 𝑚
So similarly, 𝑏 + 𝑐 = 2𝑚 (eqn.2)
Average of 𝑎 and 𝑐 is 3𝑚/2
So, 𝑎 + 𝑐 =3𝑚/2× 2
𝑎 + 𝑐 = 3𝑚 (eqn.3)
Adding (eqn.1), (eqn.2) and (eqn.3) we get,
(𝑎 + 𝑏) + (𝑏 + 𝑐) + (𝑎 + 𝑐) = 𝑚 + 2𝑚 + 3𝑚
2𝑎 + 2𝑏 + 2𝑐 = 6𝑚
𝑎 + 𝑏 + 𝑐 = 3𝑚
Average of 𝑎, 𝑏 and 𝑐 =a+b+c/3=3m/3=m or 1
We are given that the average of 𝑎 and 𝑏 is 𝑚/2 , average of 𝑏 and 𝑐 is 𝑚 and the average of 𝑎 and 𝑐 is 3𝑚/2
We need to find that the average of 𝑎, 𝑏 and 𝑐 is how many times of 𝑚.
Since, the average of 𝑎 and 𝑏 is 𝑚/2
𝑎+𝑏/2= 𝑚/2
𝑎 + 𝑏 =𝑚/2× 2
𝑎 + 𝑏 = 𝑚 (eqn.1)
Average of 𝑏 and 𝑐 is 𝑚
So similarly, 𝑏 + 𝑐 = 2𝑚 (eqn.2)
Average of 𝑎 and 𝑐 is 3𝑚/2
So, 𝑎 + 𝑐 =3𝑚/2× 2
𝑎 + 𝑐 = 3𝑚 (eqn.3)
Adding (eqn.1), (eqn.2) and (eqn.3) we get,
(𝑎 + 𝑏) + (𝑏 + 𝑐) + (𝑎 + 𝑐) = 𝑚 + 2𝑚 + 3𝑚
2𝑎 + 2𝑏 + 2𝑐 = 6𝑚
𝑎 + 𝑏 + 𝑐 = 3𝑚
Average of 𝑎, 𝑏 and 𝑐 =a+b+c/3=3m/3=m or 1
gmatclubot
If the average of a and b is [#permalink]
17 Sep 2023, 02:02
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