Ellen is 11 years older than Maja. Last year Ellen was twice as old as Maja. How old is Maja now?

E = M+11

Last year,
(E-1) = 2(M-1)

so, substitute:

(M+11-1) = 2(M-1)
M+10 = 2M-2
M = 12
so, E=23

Check: last year, 22 = 2*11

To solve this problem, let's start by assigning variables to represent the ages of Ellen and Maja. Let's say M represents Maja's age and E represents Ellen's age.

According to the problem, Ellen is 11 years older than Maja, so we can write the equation:
E = M + 11

It is also mentioned that last year Ellen was twice as old as Maja. Last year, Maja would have been M - 1 years old, and Ellen would have been E - 1 years old. We can write the equation:
E - 1 = 2(M - 1)

Now we have a system of two equations with two variables. We can solve this system by substituting the value of E from the first equation into the second equation:

(M + 11) - 1 = 2(M - 1)

Simplifying the equation:

M + 10 = 2M - 2

Bringing all the variables to one side and the constants to the other side:

2 - 10 = 2M - M

-8 = M

Therefore, Maja is -8 years old.

However, having a negative age doesn't make sense in this context. It seems there may be an error or missing information in the problem.

Let's assign variables to the ages of Ellen and Maja.

Let E represent Ellen's age.
Let M represent Maja's age.

According to the given information, Ellen is 11 years older than Maja:
E = M + 11 --------(Equation 1)

We also know that last year, Ellen was twice as old as Maja:
E - 1 = 2(M - 1) -------(Equation 2)

To determine Maja's current age, we need to solve these two equations simultaneously.
Let's substitute Equation 1 into Equation 2:

(M + 11) - 1 = 2(M - 1)

Simplifying the equation:

M + 10 = 2M - 2

Rearranging the equation:

2 - M = 10

Subtracting 2M from both sides:

-M = 8

Multiplying both sides by -1:

M = -8

Since age cannot be negative, it means there is an error in the given problem or data. Please double-check the information provided.