Difference between revisions of "2013 AMC 12B Problems/Problem 3"
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==Solution== | ==Solution== | ||
Note that <math>n</math> is equal to the number of integers between <math>53</math> and <math>201</math>, inclusive. Thus, <math>n=201-53+1=\boxed{\textbf{(D)}149}</math> | Note that <math>n</math> is equal to the number of integers between <math>53</math> and <math>201</math>, inclusive. Thus, <math>n=201-53+1=\boxed{\textbf{(D)}149}</math> | ||
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+ | == See also == | ||
+ | {{AMC12 box|year=2013|ab=B|num-b=2|num-a=4}} |
Revision as of 17:02, 22 February 2013
Problem
When counting from to , is the number counted. When counting backwards from to , is the number counted. What is ?
Solution
Note that is equal to the number of integers between and , inclusive. Thus,
See also
2013 AMC 12B (Problems • Answer Key • 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 | |
All AMC 12 Problems and Solutions |