SOLUTION: The product of x and y is 40, and the average (arithmetic mean) of x and y is an odd number. How many possible values are there for x if x is a whole number? (A) 1 (B) 2 (C) 3

Algebra ->  Average -> SOLUTION: The product of x and y is 40, and the average (arithmetic mean) of x and y is an odd number. How many possible values are there for x if x is a whole number? (A) 1 (B) 2 (C) 3      Log On


   

Question 309570: The product of x and y is 40, and the average (arithmetic mean) of x and y
is an odd number. How many possible values are there for x if x is a whole
number?
(A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
XY=40
1*40=49 (40+1)/2=41/2=20.5 NOT AN ANSWER.
2*20=40 (2+20)/2=22/2=11 WHOLE NUMBER FOR X & Y AND AN ODD NUMBER FOR THE MEAN.
4*10=40 (4+10)/2=14/2=7 DITTO.
5*8=40 (5+8)/2=13/2=6.5 NOT AN ANSWER.
ANSWER IS (B)2