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The integers x and y are greater than 1. If (4x)(7y) = 756,

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Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1975 [1] , given: 397

The integers x and y are greater than 1. If (4x)(7y) = 756, [#permalink]  15 May 2016, 18:09
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Question Stats:

80% (01:08) correct 20% (02:03) wrong based on 20 sessions
The integers x and y are greater than 1. If $$(4x)(7y) = 756$$, what is the value of $$x + y$$ ?

[Reveal] Spoiler: x+y=
12

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Question: 17
Page: 65

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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 123

Kudos [?]: 1975 [2] , given: 397

Re: The integers x and y are greater than 1. If (4x)(7y) = 756, [#permalink]  15 May 2016, 18:12
2
KUDOS
Expert's post
Explanation

You can solve the given equation, (4x)(7y) = 756, for the product xy:

$$(4x)(7y)=756$$
$$28xy = 756$$
$$xy =27$$

Using the prime factorization 3 and 9 are the only two integers greater than 1 whose product is 27. So x + y = 12, and the correct answer is 12.
_________________

Sandy
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Re: The integers x and y are greater than 1. If (4x)(7y) = 756,   [#permalink] 15 May 2016, 18:12
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