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4x=5y=10z

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4x=5y=10z

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: — Data Sufficiency |
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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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