Answer:
there are infinite values of sum X + Y = (Y + 65/Y) since there are infinite values of Y.
Step-by-step explanation:
XY = 65. Given that question is asking you find X + Y, it kind of indicates that there could be very limited possible values of X and Y which you can work out. Again it is an indication of such silly questions. It need not be true that you have limited solutions.
One such solution is represented here. I have assumed X and Y are positive integers only.
Factorize 65 = 65 x 1 or 13 x 5
Therefore (X,Y) can be (65,1) or (13,5) .
So X + Y = 66 or 18.
If we include negative integers as well ,
then XY = 65 => Factors are 65 x 1, 13 x 5 or (-13) x (-5) or (-65) x (-1)
So X + Y = -66 or -18 or 18 or 66.
In general,
XY = 65 => X = 65/Y (assuming Y is not 0 else XY would have been 0 too).
Therefore X + Y = Y + 65/Y.
If X, Y belong to real or complex numbers except 0,
there are infinite values of sum X + Y = (Y + 65/Y) since there are infinite values of Y.
