Pat is six years older than twice his cousin zach's age. the sum of their ages is less than 36. what is the greatest age that zach could be? will mark brainliest. 15 points!

Pat = p, Zach = z
p = 6 + 2z... 2z = p - 6... z = (p-6)/2
p + z < 36
(6 + 2z) + z < 36
3z + 6 < 36
2z < 30
z < 15
So the greatest age for z Zach that is less than 15 is 14!
14 years old