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

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Director
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Committee X and Committee Y , which have no common members, [#permalink]

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21 Nov 2005, 16:11
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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.
Director
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21 Nov 2005, 21:13
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.
Current Student
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22 Nov 2005, 11:26
Two equations for two unknowns. Together sufficient.

(C)
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22 Nov 2005, 11:28
Very nice explanation qsr. Thanks.
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22 Nov 2005, 22:53
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.

Re: Average, DS   [#permalink] 22 Nov 2005, 22:53
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