If x and y are positive integers, what is value of x?

Question

(1) 5x + 4y = 19
(2) x + y = 4

Kurtosis · Answer

x = ?

St1: 5x + 4y = 19
Since x and y are positive integers, x = 3 and y = 1 is the only possible solution
Sufficient

St2: x + y = 4. We get multiple solutions, x = 1, 2 or 3
Not Sufficient

Answer: A

quantumliner · Answer

Statement (1) 5x + 4y = 19

The only combination of x & y that satisfies te above equation is x = 3 then y = 1
This statement is sufficient.

(2) x + y = 4

There are multiple combinations of X and Y that can satisfy the above equation

x = 1 Y = 3
X = 2 Y = 2
X = 3 Y = 1

This statement is not sufficient.

Answer is A

MaximD · Answer

Hello,

Don't you think it's C?

Because:

When x=1 and y=1, then yes: 5*3+4*1=19

But,

When x=7 and y=-4, then also: 5*7+4*-4=19

So you've got 2 possibilities, at least. Making statement 1 insufficient.

Therefore, it's got to be C.

mcmoorthy · Answer

Hi MaximD,

Did you consider the fact that x and y are positive integers from the stem?

A is right in this case. Hope this helps.

Regards
Moorthy

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