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5 averages (Posted on 2005-02-08) Difficulty: 1 of 5

With five numbers there are 5 ways to group 4 of them together. If you take the averages of each group of 4 numbers and get...

3428.5
3425.75
3398
3120.25
342.5

What are the 5 numbers?

See The Solution Submitted by GOM    
Rating: 2.6667 (9 votes)

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Solution No Subject | Comment 2 of 5 |

By multiplying all of the averages by 4 I elimanated the division by 4 when you take the average and set up the following system.

 

a+b+c+d=13714

a+c+d+e=13703

a+b+d+e=13592

a+b+c+e=12481

b+c+d+e=1370

By solcving this system of equaitons you will arive at the fact that the five numbers are.

1, 12, 123, 1234, 12345


  Posted by casey on 2005-02-08 20:35:15
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