Question 2
(a) How many consecutive integer pairs $x,x+1$ have $x$ a multiple of $9$ and $x+1$ a multiple of $25$? Find them.
(b) How many pairs $(x,x+1)$ have $x$ a multiple of $21$ and $x+1$ a multiple of $165$?
(c) Find all consecutive integer triples $(x,x+1,x+2)$ such that $x$ is a multiple of $9$, $x+1$ a multiple of $25$, and $x+2$ a multiple of $4$.
(b) How many pairs $(x,x+1)$ have $x$ a multiple of $21$ and $x+1$ a multiple of $165$?
(c) Find all consecutive integer triples $(x,x+1,x+2)$ such that $x$ is a multiple of $9$, $x+1$ a multiple of $25$, and $x+2$ a multiple of $4$.