Question 120
Consider the natural numbers $a \neq 0$, $b = 2a + 1000$, $c = a + 1$ and $d = 2a + 1002$.
a) Show that $\frac{a}{b} \lt \frac{c}{d}$.
b) For $a = 9$, find the least natural number $n$ such that
$$
\frac{a+n}{b+n} \gt \frac{c+n}{d+n}.
$$
a) Show that $\frac{a}{b} \lt \frac{c}{d}$.
b) For $a = 9$, find the least natural number $n$ such that
$$
\frac{a+n}{b+n} \gt \frac{c+n}{d+n}.
$$