let

p = the age of Pat

s = the age of son

Pat is 24 years older than his son Patrick

p = 24 + s

In 2 years Pat will be twice as old as Patrick

(p + 2) = 2(s + 2)

by solving the system of equations

p = 24 + s

(p + 2) = 2(s + 2)

we find

p = 46 years

s = 22 years

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Pat is 46 years old now.

Patrick is 22 years old now.