12. Joseph is four times as old as Paul. Ten years from now, he will be twice as old as Paul will be. how old is Joseph now?
Let's start by defining the current ages of Joseph and Paul:
Let J = Joseph's current age
Let P = Paul's current age
From the given information, we have the following equations:
1) J = 4P
2) J + 10 = 2(P + 10)
Substitute equation 1 into equation 2:
4P + 10 = 2(P + 10)
4P + 10 = 2P + 20
4P - 2P = 20 - 10
2P = 10
P = 5
Now, substitute P = 5 into equation 1 to solve for J:
J = 4(5)
J = 20
Therefore, Joseph is currently 20 years old.