1999 is obtained by simplifying \[1049+950\]
Question : Three numbers are such that their sum is 50, the product is 3750 and the sum of their reciprocals is $\frac{31}{150}$. Find the sum of the squares of the three numbers.
Option 1: $2500$
Option 2: $1250$
Option 3: $950$
Option 4: $122$
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