SOLUTION: There is a two-digit number between 20 and 30 such that the sum of the cubes of its digits is equal to three times the number. What is the number?

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Question 974554: There is a two-digit number between 20 and 30 such that the sum of the cubes of its digits is equal to three times the number. What is the number?
Answer by Alan3354(69443) About Me  (Show Source):
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There is a two-digit number between 20 and 30 such that the sum of the cubes of its digits is equal to three times the number. What is the number?
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The 10s digit has to be 2.
2^3 = 8. The cube of the 1's digit has to be a multiple of 3, plus 1
--> 24