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.