anonymous
  • anonymous
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???
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
There are an infinite number of possible solutions to that equation, but I suspect that's not quite what you're looking for...
anonymous
  • anonymous
I want to find the solution... in what way can i approach it ??
anonymous
  • anonymous
Having googled "Armstrong Number", a better way to phrase that question is "An Armstrong number is a 3-digit 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?"

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
Are you trying to find a general expression for all Armstrong numbers, or are you trying to simply find one Armstrong number?
anonymous
  • anonymous
yaa 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
  • anonymous
I 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
  • anonymous
if 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
  • anonymous
@hartn can u help me ???
anonymous
  • anonymous
You're asking for THE solution to an equation with MANY solutions. That is the primary problem here.
anonymous
  • anonymous
or at least SEVERAL.
anonymous
  • anonymous
@hartnn help me ??
anonymous
  • anonymous
@Jemurray3 cant we find that several numbers???
anonymous
  • anonymous
Yes, 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, \[100a-a^3 + 10b-b^3 + c-c^3 = 0\] 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
  • anonymous
yaa 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
  • anonymous
If you code a program you could do it in about ten seconds...
anonymous
  • anonymous
lol
anonymous
  • anonymous
def 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
  • anonymous
I'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 3-digit Armstrong numbers.
anonymous
  • anonymous
@Jemurray3 thank u

Looking for something else?

Not the answer you are looking for? Search for more explanations.