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Puzzle - Sum of Digits

This is a discussion on Puzzle - Sum of Digits within the Brainteasers forums, part of the Brain Gym category; Find sum of digits of D. A= 19991999 B = sum of digits of A C = sum of digits of B D = sum of digits of C...

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Old 05-28-2006
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Puzzle - Sum of Digits

Find sum of digits of D.

A= 19991999
B = sum of digits of A
C = sum of digits of B
D = sum of digits of C
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Old 05-28-2006
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Re: Puzzle - Sum of Digits

This is very interesting yet I think is very easy. You just to be careful in adding the digits.

So the problem is:
Quote:
Find sum of digits of D.

A= 19991999
B = sum of digits of A
C = sum of digits of B
D = sum of digits of C
A = 19991999
B = 9 * 6 = 54 + 2 = 56
C = 5 + 6 = 11
D = 1 + 1 = 2
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Old 08-06-2006
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Re: Puzzle - Sum of Digits

Instead of manually adding the digits is there any way of solving this problem. Suppose we have more digits in the number manually adding would be tiring. So if some other way for doing this problem is presented it would make this discussion even more interesting.
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Old 12-21-2006
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Re: Puzzle - Sum of Digits

Quote:
Originally Posted by admin View Post
Find sum of digits of D.

A= 19991999
B = sum of digits of A
C = sum of digits of B
D = sum of digits of C
The number 9 doens't place a value, any number added with 9 ll remains the same value in these type of cases.. so the value of D = 2.
(eg): the sum of 9197 is 26 and the sum of 2 and 6 is 8. Now cancel the 9's and add the remaining 1 7 is also 8. In these type of expressions it is better to cancel the 9's
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Old 12-22-2006
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Re: Puzzle - Sum of Digits

I have a doubt...Anybody have a formula for multiplying the 9's.

My coleague give answer within a second, if i give number 9's multiplication...

Example..if i ask what is the value of 9x9x9x9x9x9 + 9x9x9x9x9x9x9 , then he told the answer within a second...

If any one have an idea about this?

Last edited by psuresh1982; 12-22-2006 at 09:31 AM.
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Old 10-03-2008
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Re: Puzzle - Sum of Digits

sum of digits of D = E
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Old 08-18-2009
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Re: Puzzle - Sum of Digits

Hi suresh,
Ans is 2
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