mat6ovalcor2shuaM mat6ovalcor2shuaM
  • 19-11-2016
  • Mathematics
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Find two positive numbers whose product is 225 and whose sum is a minimum

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syed514
syed514 syed514
  • 20-11-2016
Let S = x + y.
 
Since xy = 225, y = 225/x.
Substitute into the sum to get S = x + 225/x.
Then S' = 1 - 225/x^2, implying that 15/x = 1.
Then x = 15.
 The other number is also 15.
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