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eureka123: Newbie | Next Rank: 10 Posts; Posts: 8; Joined: Sat Apr 09, 2011 6:20 am

by eureka123 » Sat Apr 09, 2011 6:37 am

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At the beginning of the year, the Finance Committee and the Planning Committee of a certain company each had n members, and no one was a member of both committees. At the end of the year, 5 members left the Finance Committee and 3 members left the Planning Committee. How many members did the Finance Committee have at the beginning of the year?

(1) The ratio of the total number of members who left at the end of the year to the total number of members at the beginning of the year was 1:6.
(2) At the end of the year, 21 members remained on the Planning Committee.

Source: Beat The GMAT — Problem Solving | Sat Apr 09, 2011 6:37 am

manpsingh87: Master | Next Rank: 500 Posts; Posts: 436; Joined: Tue Feb 08, 2011 3:07 amFollowed by: 6 members; Thanked: 72 times

by manpsingh87 » Sat Apr 09, 2011 7:20 am

eureka123 wrote:At the beginning of the year, the Finance Committee and the Planning Committee of a certain company each had n members, and no one was a member of both committees. At the end of the year, 5 members left the Finance Committee and 3 members left the Planning Committee. How many members did the Finance Committee have at the beginning of the year?

(1) The ratio of the total number of members who left at the end of the year to the total number of members at the beginning of the year was 1:6.
(2) At the end of the year, 21 members remained on the Planning Committee.

members left in the finance committee and in planning committee after a year are n-5 and n-3 respectively.

1) 2n/8=1/6 n=24

2) n-3=21, n=24

hence D

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eureka123: Newbie | Next Rank: 10 Posts; Posts: 8; Joined: Sat Apr 09, 2011 6:20 am

by eureka123 » Sat Apr 09, 2011 1:11 pm

Thanks it is really appreacited.

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