This year, your brother Jack will be 2 years from being twice as old as your sister Jen. The sum of Jack’s age and three times Jen’s age is 66. How old is Jen?

This year, Jen=x, Jack = 2x-2

Now add things up as required, and solve for x, Jen's age.

Let x = Jack

x = 2J-2

x + 3J = 2J-2 + 3J = 66

In calculating for Jen's age, it does not come out in even years. Typos?

To find out Jen's age, we can set up equations based on the given information.

Let's assume the current age of Jack is represented by "J" and the current age of Jen is represented by "S".

According to the given information, "This year, your brother Jack will be 2 years from being twice as old as your sister Jen," we can write an equation as:

J + 2 = 2(S + 2)

The equation says that in two years from now (J + 2), Jack will be twice as old as Jen (2(S + 2)).

Now, let's use the second part of the information, "The sum of Jack’s age and three times Jen’s age is 66." We can write another equation as:

J + 3S = 66

This equation states that the sum of Jack's age and three times Jen's age is equal to 66.

Now we have a system of two equations:

J + 2 = 2(S + 2)
J + 3S = 66

We can solve this system of equations to find the values of J and S, which represent Jack's and Jen's ages, respectively.