Let denote Pat's age with P and Zach's age with Z. We know the following facts: <span>1.Pat is six years older than twice his Cousin Zach’s age. We can rewrite this statement as: P=2*Z+6 </span><span>2. The sum of their ages is less than 36. P+Z<36 In order to find the greatest age that Zach could be we should find for which Z P+Z=35 (the first whole number smaller than 36) P=35-Z 35-Z=2*Z+6 35-6=3Z 29=3Z Z=29/3 Z=9</span>