Difference between revisions of "2001 AMC 12 Problems/Problem 1"
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Suppose the two numbers are <math>a</math> and <math>b</math>, with <math>a+b=S</math>. | Suppose the two numbers are <math>a</math> and <math>b</math>, with <math>a+b=S</math>. | ||
Then the desired sum is | Then the desired sum is | ||
| − | <math>2(a+3)+2(b+3)=2(a+b)+12=2S +12</math>, which is answer <math>\boxed{\ | + | <math>2(a+3)+2(b+3)=2(a+b)+12=2S +12</math>, which is answer <math>\boxed{\textbf{(E)}}</math>. |
== See also == | == See also == | ||
Revision as of 09:32, 8 November 2021
- The following problem is from both the 2001 AMC 12 #1 and 2001 AMC 10 #3, so both problems redirect to this page.
Problem
The sum of two numbers is 
. Suppose 
is added to each number and then
each of the resulting numbers is doubled. What is the sum of the final two
numbers?
Solution
Suppose the two numbers are 
and 
, with 
.
Then the desired sum is
, which is answer 
.
See also
| 2001 AMC 12 (Problems • Answer Key • Resources) | |
| Preceded by First question |
Followed by Problem 2 |
| 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 | |
| 2001 AMC 10 (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 10 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
