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# What is the sum of the five consecutive even numbers whose average (ar

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Math Expert
Joined: 02 Sep 2009
Posts: 53657
What is the sum of the five consecutive even numbers whose average (ar  [#permalink]

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14 Jan 2019, 04:06
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Difficulty:

15% (low)

Question Stats:

100% (00:43) correct 0% (00:00) wrong based on 21 sessions

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What is the sum of the five consecutive even numbers whose average (arithmetic mean) is 12?

A. 30
B. 60
C. 90
D. 120
E. 150

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Re: What is the sum of the five consecutive even numbers whose average (ar  [#permalink]

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14 Jan 2019, 04:49
Bunuel wrote:
What is the sum of the five consecutive even numbers whose average (arithmetic mean) is 12?

A. 30
B. 60
C. 90
D. 120
E. 150

a+a+2+a+4+a+6+a+8 / 5 = 12
a= 8
so sum
8+10+12+14+16= 60
IMO B
or
sn= n/2 ( 2a + (n-1) *d )

5/2 ( 2*8 + ( 5-1) * 2)

s5 = 60
IMO B
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Re: What is the sum of the five consecutive even numbers whose average (ar  [#permalink]

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14 Jan 2019, 04:56
Let the first even integer be "a"

$$\frac{a + (a+2) + (a+4) + (a+6) + (a+8)}{5}$$ = 12

$$\frac{5a + 20}{5}$$ = 12

a + 4 = 12

a = 8

Five numbers are 8, 10, 12, 14, 16

Sum of these five numbers is 60.

OPTION: B
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Re: What is the sum of the five consecutive even numbers whose average (ar   [#permalink] 14 Jan 2019, 04:56
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