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Is the average (arithmetic mean) of a and b greater than 30?

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Math Expert
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Joined: 02 Sep 2009
Posts: 58431
Is the average (arithmetic mean) of a and b greater than 30?  [#permalink]

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New post 10 Oct 2019, 02:16
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

82% (01:26) correct 18% (01:05) wrong based on 22 sessions

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Senior Manager
Senior Manager
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G
Joined: 25 Jul 2018
Posts: 264
Re: Is the average (arithmetic mean) of a and b greater than 30?  [#permalink]

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New post 10 Oct 2019, 02:53
Is (a+b)> 60?

Statement1: b—a=35
—> If b=40 and a=5, then 40+5>60 (No)

—> if b=70 and a=35, then 70+35> 60 (Yes)
Insufficient

Statement2: a > 20
No info about what b is.

Insufficient

Taken together 1&2,
b—a=35
a> 20
—> a=b—35
b—35>20
b> 55

a> 20 and b>55 —> a+b is always greater than 60.

Sufficient

The answer is C

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Re: Is the average (arithmetic mean) of a and b greater than 30?   [#permalink] 10 Oct 2019, 02:53
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Is the average (arithmetic mean) of a and b greater than 30?

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