maths Maths Puzzle

Write 271 as the sum of positive real numbers so as to maximize their product.

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maths Other Question
A confused bank teller transposed the dollars and cents when he cashed a check for Ms Smith, giving her dollars instead of cents and cents instead of dollars. After buying a newspaper for 50 cents, Ms Smith noticed that she had left exactly three times as much as the original check. What was the amount of the check? (Note: 1 dollar = 100 cents.) The sum of the reciprocals of two real numbers is −1, and the sum of their cubes is 4. What are the numbers?