Algebra/fraction question

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ctgambler: Newbie | Next Rank: 10 Posts; Posts: 4; Joined: Mon Jun 15, 2009 1:54 pm

by ctgambler » Mon Jun 15, 2009 2:00 pm

if 7/X + 2/Y = 7 and xy=4, then 7Y + 2X = ?

can someone explain the quick way to solving this equation.

Source: Beat The GMAT — Problem Solving | Mon Jun 15, 2009 2:00 pm

dmateer25: Community Manager; Posts: 1049; Joined: Sun Apr 06, 2008 5:15 pm; Location: Pittsburgh, PA; Thanked: 113 times; Followed by:27 members; GMAT Score:710

by dmateer25 » Mon Jun 15, 2009 5:37 pm

7/X + 2/Y = 7

(7y + 2x)/xy = 7
7y + 2x = 7xy
7y + 2x = 7(4)
7y + 2x = 28

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