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If x and y are positive integers and 2x + 3y + xy = 12, what is the va
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03 Jun 2022, 01:05
03 Jun 2022, 01:05
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If x and y are positive integers and 2x + 3y + xy = 12, what is the value of (x + y)?
(A) 2
(B) 4
(C) 5
(D) 6
(E) 8
(A) 2
(B) 4
(C) 5
(D) 6
(E) 8
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If x and y are positive integers and 2x + 3y + xy = 12, what is the va
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03 Jun 2022, 05:02
03 Jun 2022, 05:02
Carcass wrote:
If x and y are positive integers and 2x + 3y + xy = 12, what is the value of (x + y)?
(A) 2
(B) 4
(C) 5
(D) 6
(E) 8
(A) 2
(B) 4
(C) 5
(D) 6
(E) 8
Big hint: x and y are positive integers
Since I can't immediately see an easy way to solve the given equation, I'm going to start systematically testing positive integer values of x and y.
If x = 1 and y = 1, the equation becomes: 2(1) + 3(1) + (1)(1) = 12, which simplifies to: 2 + 3 + 1 = 12. No good!
If x = 2 and y = 1, the equation becomes: 2(2) + 3(1) + (2)(1) = 12, which simplifies to: 4 + 3 + 2 = 12. No good!
If x = 1 and y = 2, the equation becomes: 2(1) + 3(2) + (1)(2) = 12, which simplifies to: 2 + 6 + 2 = 12. No good!
If x = 3 and y = 1, the equation becomes: 2(3) + 3(1) + (3)(1) = 12, which simplifies to: 6 + 3 + 3 = 12. WORKS!
Since x = 3 and y = 1, we can see that (x + y) = (3 + 1) = 4
Answer: B
gmatclubot
Re: If x and y are positive integers and 2x + 3y + xy = 12, what is the va [#permalink]
03 Jun 2022, 05:02
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