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Re: The product of three positive integers is 300. If one of the
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09 Dec 2023, 01:44
The product of three positive integers is 300. If one of them is 5
Let the other two numbers be x and y
=> x * y * 5 = 300
=> xy = \(\frac{300}{5}\) = 60
What is the least possible value of the sum of the other two?
We need to find the minimum value of x + y
Sum of two numbers is minimum when either they are equal or are close to each other
\(\sqrt{60}\) between 7 and 8
So, we need to find numbers close to 7 and 8
60 can be written as 6 * 10
No other numbers apart from these two are closer to each other whose product = 60
=> Minimum sum = 6 + 10 = 16
So, Answer will be A
Hope it helps!