Posted by **SkaterGirl** on Sunday, December 5, 2010 at 10:34am.

There are three distinct ways to add four positive odd numbers to obtain 10:

1 + 1 + 3 + 5 = 10

1 + 1 + 1 + 7 = 10

1 + 3 + 3 + 3 = 10

Here, distinct means that changing the order of the numbers on the left-hand side of an

equation does not count as a new solution. In how many distinct ways can we add eight odd

positive numbers to obtain 20? Justify your response. Hint: be systematic in your approach!

Problem 2

Find, with justi cation, the smallest integer whose rst digit is 1 and which has the property

that if this digit is transferred to the end of the number, then the number is tripled.

## Answer This Question

## Related Questions

- Math - There are three distinct ways to add four positive odd numbers to obtain ...
- math check - Posted by TchrWill on Thursday, July 14, 2005 at 5:44pm. 2.)The sum...
- Geometry - In distinct odd-town, the inhabitants want to number their houses ...
- Calculus - the sum of three positive numbers is 40. The first plus three times ...
- sports math - There are many ways to add any numbers 3,5,7,9,11, and 12 to get a...
- Math - Sum the first two odd numbers, then the first three, the first four, and ...
- Algebra - Find four consecutive odd numbers which add to 80. Give the numbers ...
- Algebra - Find four consecutive odd numbers which add to 80. Give the numbers ...
- Geometry - Working on conjectures. The question is Conjecure: The product of any...
- Math 130 - Sum the first two odd numbers, then the first three, the first four, ...

More Related Questions