Posted by **Rock** on Thursday, April 15, 2010 at 3:55am.

Suppose a1, a2, . . . , an is a list of n numbers with the following properties:

The sum of those n numbers is 500.

The sum of the smallest three of those numbers is 48.

The sum of the largest two of those numbers is 35.

(Note: There might be some repetitions among the numbers ak in that list.)

(a) What are the possible values of n ? Explain your reasoning.

(b) Can each of those values of n occur if we require all the numbers ak to be integers?

## Answer this Question

## Related Questions

- math URGENT!!!! - i have a list of 5 different numbers. the sum of 2 of the ...
- Math - Out of the numbers divisible by 3, we picked 4 consecutive numbers. To ...
- algebra - Five times the smallest of three consecutive odd integers is ten more ...
- Math - The sum of two numbers subtracted from twice the sum of those numbers. ...
- Algebra - There are three real numbers x that are not in the domain of f(x)=1/ ...
- algebra - There are three real numbers x that are not in the domain of f(x)=1/ 1...
- math - what is the sum of all consecutive numbers from 101 to 200, those two ...
- Algebra - There are three real numbers x that are not in the domain of f(x)=1/ 1...
- algebra - production of two numbers is 19951 and sum of those two numbers is 280...
- Math (Algebra) - The ratio of three positive integers is 2:4:5 and their least ...

More Related Questions