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Committee X and Committee Y , which have no common members,

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Committee X and Committee Y , which have no common members, [#permalink] New post 21 Nov 2005, 15:11
00:00
A
B
C
D
E

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(N/A)

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0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Committee X and Committee Y , which have no common members, will combine to form Committee Z . Does Committee X have more members than Committee Y ?

(1) The average (arithmetic mean) age of the members of Committee X is 25.7 years and the average age of the members of Committee Y is 29.3 years.

(2) The average (arithmetic mean) age of the members of Committee Z will be 26.6 years.
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 [#permalink] New post 21 Nov 2005, 20:13
C

x be the members in X
y be the members in Y
x+y be members in Z
25.7x + 29.3y = 26.6(x+y).

From this, we can find the ratio of x and y or say which is greater.
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 [#permalink] New post 22 Nov 2005, 10:26
Two equations for two unknowns. Together sufficient.

(C)
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 [#permalink] New post 22 Nov 2005, 10:28
Very nice explanation qsr. Thanks.
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Re: Average, DS [#permalink] New post 22 Nov 2005, 21:53
this type of average question, we can find the answer by observation too. the average age of z is 26.6, which is close to the average age, 25.7, of x. so we can say that there are more member of people/members in x than the members in y.

so C is the answer.
Re: Average, DS   [#permalink] 22 Nov 2005, 21:53
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Committee X and Committee Y , which have no common members,

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