Difference between revisions of "2001 AMC 12 Problems/Problem 1"
Brut3Forc3 (talk | contribs) (New page: == Problem == The sum of two numbers is <math>S</math>. Suppose <math>3</math> is added to each number and then each of the resulting numbers is doubled. What is the sum of the final two n...) |
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| − | <math>\text{(A)}\ 2S + 3\qquad \text{(B)}\ 3S + 2\qquad \text{(C)}\ 3S + 6 \qquad\text{(D)} 2S + 6 \qquad \text{(E)}\ 2S + 12</math> | + | <math>\text{(A)}\ 2S + 3\qquad \text{(B)}\ 3S + 2\qquad \text{(C)}\ 3S + 6 \qquad\text{(D)}\ 2S + 6 \qquad \text{(E)}\ 2S + 12</math> |
== Solution == | == Solution == | ||
Revision as of 22:55, 7 February 2009
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 | |
