Algebra - Math HW HELP!

1) It is a five-digit whole number. 2) It is a palindrome. 3) Its tens digit is the cube root of a one-digit number. 4) The product of its hundreds digit and its ones digit is 54. 5) The sum of its hundreds digit and its ones digit is 15. 6) It is divisible by 4. 7) The sum of its 100s digit and its tens digit is 10. 8) The product of its hundreds digit and its tens digit is 9. 9) Its ten thousands digit is 6. 10) Its thousands digit is 1.

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asked by Nomad
  1. just work with the clues. The number's digits are

    abcde
    palindrome means it is
    abcba
    tens digit must be 1 or 2, so b=1 or 2
    a2c2a
    a1c1a
    c*a = 54, so c=9 and a=6 or vice-versa

    92629
    62926
    91619
    61916

    c+a=15 well, we already knew that with the 9 and 6

    divisible by 4 knocks out the odd ones, and we are left with

    62926
    61916

    c+b=10

    Our number must be 61916

    The rest is just redundant.

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    posted by Steve
  2. Thank you thank you thank you. thank you for explaining it with the answer. that helps to understand it. :)

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    posted by Nomad

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