There was a famous mathematician named Karl Friedrich Gauss. When he was young, he entered Gotinga University. One day he met an old professor, and spoke to him. They chatted, and the professor asked Gauss about his age.
Gauss said: "The cube and the fourth power of my age contain each digit from 0 to 9 exactly once."
The professor said: "Very good. It's good coincidence because the square and the cube of my age contain each digit from 0 to 9 exactly once."
How old was Gauss, and how old was the professor?
2006-06-14 03:24:31 · 8 answers · asked by simply_boring 4 in Entertainment & Music ➔ Jokes & Riddles
18 and 69
18^3 & 4 = 5832 & 104976
69^2 & 3 = 4761 & 328509
2006-06-14 03:48:19 · answer #1 · answered by Anonymous · 4⤊ 1⤋
By eliminating some numbers such as..0 to 13 may not be because it is university.....and they cant end with 0,1,5,6 because if we cube them the numbers will be repeated.....so, if we take 14^3=2744 so not 14. 17^3=4913 and 17^4=83251 and 1 is repeating here.......18^3=5832, 18^4=104976. so gauss age 18.( from 17 to 22 it is trail and error methos only using calc)
See now the ages should be multiple of 3 and 9 and also the number before them. So, proff age can be from 47 to 99....there fore the possibilities are 48, 53, 54, 57, 62, 63, 69, 72, 78, 84, 87, 89, 93, 98, 99 ( as should be divisible by 3 and 9 and the number before that) in this numbers if i check the square and cube in my calculator i found that 69^2=4761, 69^3=328509. All numbers are there. so proff age is 69.
2006-06-14 05:56:54 · answer #2 · answered by sammy 3 · 0⤊ 0⤋
Age of the mathematician Friedrich Gauss must be 32years and that of the Old Professor must be 69years
2006-06-14 04:05:21 · answer #3 · answered by Anonymous · 0⤊ 0⤋
2 points
2006-06-14 05:06:51 · answer #4 · answered by sparklingsapphireeyes 5 · 0⤊ 0⤋
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2016-10-30 21:14:08 · answer #5 · answered by ? 4 · 0⤊ 0⤋
2 points 4 me
2006-06-14 03:31:40 · answer #6 · answered by nimish h 2 · 0⤊ 0⤋
huh!!?? im on ma summer hols, my brain doesnt respond to maths problems at d mo soz hun!! lol
2006-06-14 03:35:25 · answer #7 · answered by Marz-2kaii8 4 · 0⤊ 0⤋
Not worth figuring out. i will just take to 2 points. thanks.
2006-06-14 03:39:14 · answer #8 · answered by ssig1e 2 · 0⤊ 0⤋