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# The ratio of x to y is 3 : 4, and the ratio of x + 7 to y +

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The ratio of x to y is 3 : 4, and the ratio of x + 7 to y + [#permalink]  24 Apr 2018, 01:55
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Question Stats:

65% (01:29) correct 34% (02:30) wrong based on 43 sessions

The ratio of x to y is 3 : 4, and the ratio of x + 7 to y + 7 is 4 : 5.

 Quantity A Quantity B $$\frac{x+14}{y+14}$$ $$\frac{5}{6}$$

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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[Reveal] Spoiler: OA

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Manager
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Re: The ratio of x to y is 3 : 4, and the ratio of x + 7 to y + [#permalink]  24 Apr 2018, 03:23
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KUDOS
From 2 equations, solving for x and y gives, x= 21 and y =28.

x+14/y+14 = 35/42

=5/6

Hence C
Manager
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Re: The ratio of x to y is 3 : 4, and the ratio of x + 7 to y + [#permalink]  20 May 2018, 01:16
mohan514 wrote:
From 2 equations, solving for x and y gives, x= 21 and y =28.

x+14/y+14 = 35/42

=5/6

Hence C

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Re: The ratio of x to y is 3 : 4, and the ratio of x + 7 to y + [#permalink]  20 May 2018, 04:45
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Expert's post
Solve the equations given

$$\frac{x}{y}=\frac{3}{4}$$

$$4x=3y$$

Second equations

$$\frac{x+7}{y+7}=\frac{4}{5}$$

$$5x+35=4y+28$$ or $$5x-4y=-7$$.

Solving these 2 equations we get x=21 and y=28.

So $$\frac{x+14}{y+14}=\frac{21+14}{28+14}=\frac{35}{42}=\frac{5}{6}$$
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Re: The ratio of x to y is 3 : 4, and the ratio of x + 7 to y + [#permalink]  06 Dec 2019, 10:08
What about noticing a pattern? You can see that initially x/y equals to 3/4 then when it is x+7/y+7 equals to 4/5. Can't you just assume that it should increase to 5/6 based on the give pattern?
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Re: The ratio of x to y is 3 : 4, and the ratio of x + 7 to y + [#permalink]  06 Dec 2019, 11:24
Expert's post
I do not think in this scenario a pattern could unfold.

You could go wrong.

However, if it works to reach a solution easier and faster, go for it. Why not
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Re: The ratio of x to y is 3 : 4, and the ratio of x + 7 to y +   [#permalink] 06 Dec 2019, 11:24
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