Play vth Maths!
Level
pending
If xy=1000 , where x and y are integers, find the maximum value of (x+y)(xy).
The answer is 1001000.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
Minimum is when x and y are approximately equal.
Maximum is when x and y are of greatest difference.
Therefore, (1000 + 1)(1000 x 1) = 1001000.