4x=5y=10z

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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 12:18 pm

If 4x=5y=10z, what is the value of x+y+z
(1) x-y = 6
(2) y+z = 36

OA: D

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Source: Beat The GMAT — Data Sufficiency | Sat May 16, 2009 12:18 pm

ssmiles08: Master | Next Rank: 500 Posts; Posts: 472; Joined: Sun Mar 29, 2009 6:54 pm; Thanked: 56 times

by ssmiles08 » Sat May 16, 2009 1:13 pm

If x-y = 6

then x = 6+y

4(6+y) = 5y

24 + 4y = 5y

y= 24

5(24) = 10z

z = 12

plug in y and z to find x. Therefore you can find x+y+z

you can do the same with the second answer choice:

y = 36-z

5(36-z) = 10z-----> find z (z = 12)

plug it in to find y ( y = 36-12 = 24)

you can plug both y and z to find x and so each answer choice is sufficient.

D

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