23. Two friends, Marco and Ian, are talking about their ages. Ian says, "My age is a zero of a polynomial with integer coefficients."
Having seen the polynomial $p(x)$ Ian was talking about, Marco exclaims, "You mean, you are seven years old? Oops, sorry I miscalculated! $p(7)=77$ and not zero."
"Yes, I am older than that," Ian's agreeing reply.
Then Marco mentioned a certain number, but realizes after a while that he was wrong again because the value of the polynomial at that number is 85 .
Ian sighs, "I am even older than that number."
Determine Ian's age.