Question

Write the numbers 2001, 2002, 2003, 2004, 2005, and 2006 into the circles so that the

sum of the numbers on a side of the triangle is always the same, and this sum is as
great as possible.

20 POINTS

Answer 1

To find the numbers 2001, 2002, 2003, 2004, 2005, and 2006 into the circles so that the sum of the numbers on a side of the triangle is always the same, we can start by finding the average of the numbers:

(2001 + 2002 + 2003 + 2004 + 2005 + 2006) / 6 = (12,016) / 6 = 2004

Next, we can place the numbers around the average so that the sum of the numbers on a side of the triangle is as great as possible:

2004

2006 2005

2003 2002 2001

In this configuration, the sum of the numbers on each side of the triangle is 6021.