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x = a, y = 2b, z = 3c. x : y : z = 1 : 2 : 3.
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14 Apr 2019, 01:53
14 Apr 2019, 01:53
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x = a, y = 2b, z = 3c.
x : y : z = 1 : 2 : 3.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
x : y : z = 1 : 2 : 3.
Quantity A |
Quantity B |
\(\frac{x+y+z}{a+b+c}\) |
2 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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Re: x = a, y = 2b, z = 3c. x : y : z = 1 : 2 : 3.
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21 Apr 2019, 08:08
21 Apr 2019, 08:08
1
Carcass wrote:
x = a, y = 2b, z = 3c
x : y : z = 1 : 2 : 3.
x : y : z = 1 : 2 : 3.
Quantity A |
Quantity B |
\(\frac{x+y+z}{a+b+c}\) |
2 |
GIVEN: x : y : z = 1 : 2 : 3.
This tells us that y is TWICE the value of x
In other words, y = 2x
The above ratio also tells us that z is THREE TIMES the value of x
In other words, z = 3x
ALSO GIVEN: x = a, y = 2b, z = 3c
Take y = 2b, and replace y with 2x to get: 2x = 2b
This means x = b
Take z = 3c, and replace z with 3x to get: 3x = 3c
This means x = c
So, we know that x = a = b = c
We can do a BUNCH of substitutions to get:
QUANTITY A: \(\frac{x+y+z}{a+b+c}=\frac{x+2x+3x}{x+x+x}=\frac{6x}{3x}=2\)
QUANTITY B: 2
Answer: C
Cheers,
Brent
gmatclubot
Re: x = a, y = 2b, z = 3c. x : y : z = 1 : 2 : 3. [#permalink]
21 Apr 2019, 08:08
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