11. Jeremiah is 10 years younger than James. In Six years, James will be 3/2 times as old as Jeremiah will be then. Fine their present ages.

Let's let J = Jeremiah's current age and J+10 = James's current age.

In 6 years, James will be J+10+6 and Jeremiah will be J+6.

According to the problem, James's age in 6 years will be 3/2 times Jeremiah's age in 6 years:

J+10+6 = (3/2)(J+6)
J+16 = (3/2)J + 9
2J + 32 = 3J + 18
J = 14

Therefore, Jeremiah is currently 14 years old and James is currently 24 years old.