1997 AHSME Problems/Problem 4
Problem
If is larger than , and is larger than , then is what percent larger than ?
Solution
Solution 1
Translating each sentence into an equation, and .
We want a relationship between and . Dividing the second equation into the first will cancel the , so we try that and get:
In this case, is bigger than , and the answer is .
Solution 2
Arbitrarily assign a value to one of the variables. Since is the smallest variable, let .
If is larger than , then .
If is larger than , then .
We see that So, is bigger than , and the answer is .
See also
1997 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 3 |
Followed by Problem 5 | |
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