SOLUTION: pls help me to answer: if the sum of the cube of two numbers is 35 and their and their product is 216. what are the two numbers?

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Question 1098031: pls help me to answer: if the sum of the cube of two numbers is 35 and their and their product is 216. what are the two numbers?
Answer by ikleyn(52810) About Me  (Show Source):
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pls help me to answer: if the sum of the highlight%28cross%28cube%29%29 cubes of two numbers is 35 and highlight%28cross%28their%29%29 highlight%28cross%28and%29%29 highlight%28cross%28their%29%29 the product of the cubes is 216,
what are the two numbers?
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35 = 27 + 8 = 3%5E3 + 2%5E3.

27*8 = 216.

Answer. The two numbers are 2 and 3.