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If x and y are integers such that 12^2 \cdot 18^3 = xy, find x+y.

 May 25, 2025
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If x and y are integers such that 12^2 \cdot 18^3 = xy, find x+y.    

 

122 • 183 = xy     ——>     xy = 144 • 5832 = 839,808     

 

x and y could be any of the many factors of 839,808     

so let's just use the two factors that we have already    

been given ... namely, 144 and 5832     

 

x + y = 144 + 5832  =  5976     

 

This is one sum.  There could be are others possible.     

.      

 May 25, 2025
edited by Bosco  May 25, 2025

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