Solve a Problem: Find a Whole Number w/ Sum of 2 Largest Factors = 340

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To find a whole number where the sum of its two largest factors equals 340, let n be the number and x and y its largest factors. The relationship between these factors can be expressed as xy = n and x + y = 340. By substituting y with n/x, the equation becomes x + n/x = 340. This approach allows for further exploration of potential solutions, keeping in mind that there are infinitely many correct answers.
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Find a whole number for which the sum of its two largest factors is 340.


pls offer help ... what method can i use to slove such a problem??
 
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Let n be the number we want ...
Let x and y be its largest factors ...

we know,
xy=n ...
(pedantically xy = nk where k is some integer but it that would mean i can find a factor greater than x or y)

and x+y = 340

y=n/x
so x+n/x = 340

ok now try to proceed from here ...

-- AI
 
Note: there are, of course, an infinite number of correct solutions.
 

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