Data Sufficiency

For the non zero integers x and y, what is the value of {(x/y) + (y/x)}?

(1) x, y are roots of the equation 16 t^2 – 24 t + 9.

(2) The least common multiple of x and y is y, the same as their greatest common divisor.

MBM

I think the answer to this question is D
statment 1: by examining the discriminant of the given equation.. it will be equal to 0; which means one single repeated root, in other words, x=y

statement 2: also states that x=y because for the GCD both numbers to be equal to the HCF, they have to be equal

Please correct me if i'm wrong

IMO B

1st does not give integer values for x and y..

I am confused about the justification to say that (1) in Insufficient.

Should'nt we say that 16t^2 -24t + 9 =0 has a singular non-integer root t=3/4 and hence the values of x and y remain undecided?

On resolving the first equation we get the roots as 12 and 12.
Therefore statement 1 is sufficient.

Also from statement 2 if LCD = GCD then the numbers must be equal so we can calculate the value of the expression.

therefore the answer is D.

Please post the OA?

IMO D.

The first statement essentially leads to the root 3/4, which is the same for x & y. The second statement is also saying that the roots are equal by telling us that the LCM & GCD are the same.

shouldn't the question say non-zero non-integers

Stmt I gives us x = y = 3/4, and hence the value of the expression 2
Stmt II says x = y, hence value of the expression = 2

D