AMC 10 Step by Step
Log inSign up
Printable

2011 AMC 10B Problem 21

Include the solutionBack to the problem
2011 AMC 10B Problem 21AMC 10 Step by Step
Name:                             Date: September 13, 2026
Number Properties · difficulty 4 of 5 · about 6 min · position P21-25

Brian writes down four integers w>x>y>zw > x > y > z whose sum is 4444 . The pairwise positive differences of these numbers are 1,3,4,5,6,1, 3, 4, 5, 6, and 99 . What is the sum of the possible values for ww ?

  1. A)

    1616

  2. B)

    3131

  3. C)

    4848

  4. D)

    6262

  5. E)

    9393

Working