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If x to y equals 5 to 3, what is the value of x + y?

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If x to y equals 5 to 3, what is the value of x + y? [#permalink]

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New post 18 Apr 2017, 11:16
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Source: McGraw Hill GMAT

If x to y equals 5 to 3, what is the value of x + y?

(1) 3x + y = 24
(2) y > 4
[Reveal] Spoiler: OA

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Senior Manager
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Re: If x to y equals 5 to 3, what is the value of x + y? [#permalink]

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New post 18 Apr 2017, 12:33
If x to y equals 5 to 3, what is the value of x + y?

x/y = 5/3

3x=5y

Statement (1) 3x + y = 24

5y+y=24
6y=24
y=4
x = 5y/3 = 5*4/3 = 20/3

x+y = 20/3 + 4 = (20+12)/3 = 32/3

This statement is sufficient.

Statement (2) y > 4

As Y can take infinite values, so will x. Hence this statement is not sufficient.

Answer is A
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If x to y equals 5 to 3, what is the value of x + y? [#permalink]

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New post 18 Apr 2017, 12:54
Friends,

Here is the correct way of solving such questions.

If x/y = 5/3, assume x=5k and y=3k.

We now, thus, need to find the value of 'k' to find each respective value.

(1) 5x+3y = 24
Hence, 5*(5k) + 3*(3k) = 24. This will give you the value of 'k' and therefore, the value of x, y, and the needed: 'x+y'.
Sufficient.

(2) Doesn't help.
Insufficient.

A is the correct answer choice.

Please find the detailed explanation on the following video. The 2-minute video will help you solve questions on this concept in 1-minute.
https://youtu.be/Exi8UOtAW6o

Best wishes.
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If x to y equals 5 to 3, what is the value of x + y?   [#permalink] 18 Apr 2017, 12:54
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