Asked by anonymous
two integers, x and y have a product of 20. what is the least possible sum of x and y?
Answers
Answered by
Steve
xy=20
x+y = x + 20/x
minimum occurs where x=2√5
(same as the problem for finding maximum area for a given perimeter: a square)
So, pick two integers near √20. They would be 4 and 5, with sum=9
The only other sums are
1+20=21
2+10=12
x+y = x + 20/x
minimum occurs where x=2√5
(same as the problem for finding maximum area for a given perimeter: a square)
So, pick two integers near √20. They would be 4 and 5, with sum=9
The only other sums are
1+20=21
2+10=12
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