If x and y are integers, and 4x + 5y = 19, which of . . .

This topic has expert replies
Legendary Member
Posts: 2898
Joined: Thu Sep 07, 2017 2:49 pm
Thanked: 6 times
Followed by:5 members
If x and y are integers, and 4x + 5y = 19, which of the following could be the value of x?

A. 1

B. 2

C. 3

D. 4

E. 5

The OA is the option A.

The way to solve this PS question is replacing the values in x? Is there another way to solve it?

GMAT/MBA Expert

User avatar
Elite Legendary Member
Posts: 10392
Joined: Sun Jun 23, 2013 6:38 pm
Location: Palo Alto, CA
Thanked: 2867 times
Followed by:511 members
GMAT Score:800

by [email protected] » Tue Dec 26, 2017 8:51 am
Hi Vincen,

We're told that X and Y are integers, and 4X + 5Y = 19. We're asked which of the following COULD be the value of X.

This question is perfect for TESTing THE ANSWERS - one of those numbers MUST be a solution to the given equation (note: we're told that BOTH variables are INTEGERS, so when you TEST a value for X, the corresponding value of Y must also be an integer). When you plug-in a value of X and find the corresponding Y or plug in the Y and find the corresponding value for X, the equation is relatively "small", so it shouldn't take too long to do the basic arithmetic and find the solution.

Final Answer: A

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 7242
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

by Scott@TargetTestPrep » Thu Sep 05, 2019 5:12 am
Vincen wrote:If x and y are integers, and 4x + 5y = 19, which of the following could be the value of x?

A. 1

B. 2

C. 3

D. 4

E. 5

The OA is the option A.

The way to solve this PS question is replacing the values in x? Is there another way to solve it?
If x = 1, then y = 3 will satisfy the equation 4x + 5y = 19.

Answer: A

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage