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

tagged by: Vincen

This topic has 1 expert reply and 0 member replies

### Top Member

Vincen Legendary Member
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#### If x and y are integers, and 4x + 5y = 19, which of . . .

Tue Dec 26, 2017 5:40 am
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

Rich.C@EMPOWERgmat.com Elite Legendary Member
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GMAT Score:
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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.

GMAT assassins aren't born, they're made,
Rich

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Contact Rich at Rich.C@empowergmat.com

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