Pat is 20 years older than his son Patrick. In 3 years Pat will be twice as old as Patrick. How old are they now?
A) Pat is 39; Patrick is 19
B) Pat is 35; Patrick is 15
C) Pat is 30; Patrick is 10
D) Pat is 37; Patrick is 17
E) Pat is 32; Patrick is 12

Question

Quizplus · Accepted Answer

Let's use P for Pat's current age and p for Patrick's current age. 
From the first sentence, we know that: P = p + 20
From the second sentence, we know that: P + 3 = 2(p + 3)
Simplifying the second equation: P + 3 = 2p + 6
Substituting the first equation into the second equation: p + 20 + 3 = 2p + 6
Simplifying: p = 17
Substituting p=17 into the first equation: P = 37. 
Therefore, Pat is currently 37 years old and Patrick is currently 17 years old. 
Therefore, the answer is D.

Pat Is 20 Years Older Than His Son Patrick