AoPSWiki

Trying to get to the USAMO in 2010? Our AIME Problem Series can help you get there! Click here to enroll today!

Personal tools

Search

Toolbox

1987 AJHSME Problems/Problem 3

From AoPSWiki

Problem

$2(81+83+85+87+89+91+93+95+97+99)=$

$\text{(A)}\ 1600 \qquad \text{(B)}\ 1650 \qquad \text{(C)}\ 1700 \qquad \text{(D)}\ 1750 \qquad \text{(E)}\ 1800$

Solution

$2(81+83+85+87+89+91+93+95+97+99)$

$\begin{align*}& = 2\Big( (81+99) + (83+97) + (85+95) + (87+93) + (89+91) \Big) \\& = 2(180+180+180+180+180) \\& =...$

See Also

1987 AJHSME (Problems • Resources)
Preceded by Problem 2	Followed by Problem 4
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25

Retrieved from "http://www.artofproblemsolving.com/Wiki/index.php/1987_AJHSME_Problems/Problem_3"

Category: Introductory Algebra Problems

Looking for a challenging geometry text? Preparing for MATHCOUNTS or the AMC exams? Check out Art of Problem Solving's Introduction to Geometry by Richard Rusczyk.

© Copyright 2008 AoPS Incorporated. All Rights Reserved. • Foundation • Privacy • Contact Us