Stupefy rennervate
Number Theory
Level
4
How many ordered pairs of integers \( (a,b) \) are there, such that \( 100 \leq a \leq 1000, 100 \leq b \leq 1000 \) and
\[ \frac{a}{b} = \frac{12}{21}? \]
Details and Assumptions:
- For an ordered pair of integers \((a,b)\), the order of the integers matter. The ordered pair \((1, 2)\) is different from the ordered pair \((2,1) \).
by
Arron Kau