Question

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?

Answer 1

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.