x, y and z

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shibal: Master | Next Rank: 500 Posts; Posts: 345; Joined: Wed Mar 18, 2009 6:53 pm; Location: Sao Paulo-Brazil; Thanked: 12 times; GMAT Score:660

by shibal » Sat May 16, 2009 12:33 pm

If x, y and z are positive intergers and 3x=4y=7z, then the least possible value for x+y+z?

OA: 61

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Source: Beat The GMAT — Problem Solving | Sat May 16, 2009 12:33 pm

dtweah: Master | Next Rank: 500 Posts; Posts: 487; Joined: Fri Mar 27, 2009 5:49 am; Thanked: 36 times

Re: x, y and z

by dtweah » Sat May 16, 2009 1:45 pm

shibal wrote:If x, y and z are positive intergers and 3x=4y=7z, then the least possible value for x+y+z?

OA: 61

What is LCM of 3 4 7? 84
3 x28=4x 21=7 x 12
28+21+12=61

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artistocrat: Master | Next Rank: 500 Posts; Posts: 152; Joined: Wed Mar 12, 2008 4:36 pmFollowed by: 2 members; Thanked: 8 times

by artistocrat » Sat May 16, 2009 2:51 pm

3x=4y=7z

3*(4*7)=4*(3*7)=7*(3*4)

3*28=4*21=7*12

so, x=28, y=21, z=12

then, x+y+z=61

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