A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
Armstrong number is a number obtained summing the cubes of each number.....
consider the number to be abc
so took the eqn as
100a + 10b + c = a^3 + b^3 + c^3
how to solve this eqn???
anonymous
 3 years ago
Armstrong number is a number obtained summing the cubes of each number..... consider the number to be abc so took the eqn as 100a + 10b + c = a^3 + b^3 + c^3 how to solve this eqn???

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0There are an infinite number of possible solutions to that equation, but I suspect that's not quite what you're looking for...

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I want to find the solution... in what way can i approach it ??

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Having googled "Armstrong Number", a better way to phrase that question is "An Armstrong number is a 3digit number such that the sum of the cubes of each of its constituent digits is equal to the number itself. How can I find an armstrong number?"

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Are you trying to find a general expression for all Armstrong numbers, or are you trying to simply find one Armstrong number?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yaa i know it is a 3 digit number.... i am trying to find the general expression and i want to find the total number of armstrong numbers present.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I realize that you know the definition. My point was that I did not, so what I said would have been a better way to ask the question in the first place. Incidentally, you are restricting your attention to 3 digit numbers, then? Because the general concept of an Armstrong number can be applied to a number with any number of digits. If you are restricting yourself to 3 digit numbers, I don't think you can express a general relationship between the digits but it would be straightforward to systematically solve for them. There are only a handful.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0if i can find the solution for this eqn ... then same procedure can be used to find it 4 or 5 or 6 digit number...

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@hartn can u help me ???

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0You're asking for THE solution to an equation with MANY solutions. That is the primary problem here.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@Jemurray3 cant we find that several numbers???

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Yes, but I'm saying that you'd probably have to do it algorithmically rather than try to find a general expression for the digits. For instance, rearranging the equation, \[100aa^3 + 10bb^3 + cc^3 = 0\] if a = 1 and b = 1, \[99 + 9 = c^2 c \] which doesn't yield an integer c... but going through this process, you might find that 153 works out just fine.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yaa i found that one... i solve it like dw:1348380805812:dw i dont no to proceed further.. if i go by ur method it will be trial and error method.. so i am trying for some different approach.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0If you code a program you could do it in about ten seconds...

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0def Armstrong(): for i in range(1,9): for j in range(0,9): for k in range(0,9): if i*i*i + j*j*j + k*k*k == 100*i + 10*j + k: print(100*i+10*j+k)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I'm serious. This is a perfect example of when a computer program would be wonderful. The above code took a little over 10 seconds to write and produced the four 3digit Armstrong numbers.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.