Paul's age = 6 years + Corinne's age
(Paul's age - 10 years) = 3 times (Corinne's age - 10 years)
Let's rewrite it so it's cleaner:
P = 6 + C
P - 10 = 3(C - 10)
Question is P = ? years.
P = ? = 6 + C
We need to know what C is... the second equation can tell us:
P - 10 = 3C - 30
P + 20 = 3C
P/3 + 20/3 = C
So now we know what C is... we can replace it into the first equation:
P = 6 + [P/3 + 20/3]
we just need to simplify now... it's easiest to get rid of the fractions first:
3P = 18 + P + 20
2P = 38
P = 19
Answer is Paul's age is now 19 years.