2004 AMC 8 Problems/Problem 19
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Problem
A whole number larger than leaves a remainder of when divided by each of the numbers and . The smallest such number lies between which two numbers?
Solution
The smallest number divisible by and , or their least common multiple, can be found to be . When is added to a multiple of number, its remainder when divided by that number is . The number we are looking for is therefore , and between .
See Also
2004 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 18 |
Followed by Problem 20 | |
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