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.

Answer 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.

Answer 2

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