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The number m is the average (arithmetic mean) of the positive numbers

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The number m is the average (arithmetic mean) of the positive numbers [#permalink] New post   31 Mar 2021, 22:21
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The number m is the average (arithmetic mean) of the positive numbers a and b. If m is 75% more than a, then m must be

A. 30% less than b

B. \(42 \frac{6}{7}\)% less than b

C. 50% less than b

D. \(66 \frac{2}{3}\)% less than b

E. 75% less than b
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The number m is the average (arithmetic mean) of the positive numbers [#permalink] New post   01 Apr 2021, 07:35
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m = \(\frac{a+b}{2}\) _________ Eq (1)

m = \(1.75a\) :: a = \(\frac{4}{7}\)m

By putting value of \(a\) in eq .... (1)

2m = \(\frac{4m + 7b}{7}\)

14m = 4m + 7b

10m = 7b

m = 0.7b

Answer A
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Re: The number m is the average (arithmetic mean) of the positive numbers [#permalink] New post   01 Apr 2021, 11:31
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(a + b) / 2 = m
a + b = 2m

As, m is 75% more than a. Let, a = 10, so m = 17.5

Now, a + b = 2m
10 + b = 2 * 17.5
10 + b = 35
b = 25

SO, m is less than b by (25 - 17.5) / 25 = 30 %
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Re: The number m is the average (arithmetic mean) of the positive numbers [#permalink] New post   12 Sep 2025, 19:01
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: The number m is the average (arithmetic mean) of the positive numbers [#permalink]
12 Sep 2025, 19:01
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