Monthly Archives: February 2024

AMC 10 Training – Number Theory – 1

Let $a$, $b$, $c$ be real numbers with $|a-b|=3$, $|b-c|=4$, and $|c-d|=5$. What is the sum of all possible values of $|a-d|$? What is the greatest integer less than or equal to $$\dfrac{5^{200}+3^{200}}{5^{197}+3^{197}}$$ How many negative integers can be written … Continue reading

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