Question 315543: find the two digit number which has the sum of the cubes of its digits equal to three times itself? Found 2 solutions by jim_thompson5910, CharlesG2:Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! Hint: Let t=tens digit and u=units digit. So the number is of the form . Now because "the sum of the cubes of its digits equal to three times itself", this means that . From here, simply find the only positive integer solution.
You can put this solution on YOUR website! find the two digit number which has the sum of the cubes of its digits equal to three times itself?
24 * 3 = 72
2^3=8
4^3=64
8 + 64 = 72
the answer is 24
below is an Excel Table:
10 1 0 1 0.333333333 NO
11 1 1 2 0.666666667 NO
12 1 8 9 3 NO
13 1 27 28 9.333333333 NO
14 1 64 65 21.66666667 NO
15 1 125 126 42 NO
16 1 216 217 72.33333333 NO
17 1 343 344 114.6666667 NO
18 1 512 513 171 NO
19 1 729 730 243.3333333 NO
20 8 0 8 2.666666667 NO
21 8 1 9 3 NO
22 8 8 16 5.333333333 NO
23 8 27 35 11.66666667 NO
24 8 64 72 24 YES
(
