Question

Ron is five years older than twice his cousin Pat’s age. The sum of their ages is less than 35. What is the greatest age that Pat could be

Answer 1

Let \(P\) be the age of Pat and let \(R\) be rons age. We have \[2P+5=R\] and \[P+R<35\implies P+2P+5<35 \implies 3P<30 \implies P<10\]