amelie is x years old her sister is four years older her brother is three times her age the sum of their age is 44 years

x + x+4 + 3x = 44

To solve the problem, let's assign variables to the unknowns. Let's say Amelie's age is represented by x.

According to the given information:

Amelie's sister is four years older, so her sister's age is x + 4.
Amelie's brother is three times her age, so her brother's age is 3x.

The sum of their ages is 44 years, so we can write an equation:

x + (x + 4) + 3x = 44

Now we can solve the equation to find the value of x:

Combining like terms, we have:

5x + 4 = 44

Subtracting 4 from both sides:

5x = 40

Dividing both sides by 5:

x = 8

Therefore, Amelie is 8 years old, her sister is 8 + 4 = 12 years old, and her brother is 3 * 8 = 24 years old.