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

Target question: What is the value of x + y?

Given: x and y are positive INTEGERS

Statement 1: x percent of 300 is equal to y percent of 125
We can write: (x/100)(300) = (y/100)(125)
Simplify: 3x = 1.25y
Divide both sides by 1.25 to get: 2.4x = y

There are several values of x and y that satisfy the equation 2.4x = y. Here are two:
Case a: x = 10 and y = 24. In this case, the answer to the target question is x + y = 10 + 24 = 34
Case b: x = 5 and y = 12. In this case, the answer to the target question is x + y = 5 + 12 = 17
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: y is 140 percent greater than x
We can write: y = x + 140% of x
In other words: y = x + 1.4x
Simplify: y = 2.4x
Divide both sides by 1.25 to get: 2.4x = y
At this point, we're finished.
This equation (2.4x = y) is the SAME equation we derived for statement 1.
Since statement 1 is not sufficient, we can conclude that statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
When we combine the statements, all we know is that 2.4x = y
We already know that this equation is not enough to answer the target question with certainty.
So, the combined statements are NOT SUFFICIENT

Answer: E

Cheers,
Brent