Answer:
8
Explanation:
If the girl is 8, and her younger brother is 1/2 of her age, we can use the equation:
8 × 1/2 = 4
This means her younger brother is 4 years old.
Let's find out how old her older sister is.
If her older sister is 2/3 the girls age, then we can use an equation that looks like this:
(Older sisters age) 12 × 2/3 = 8
This means her older sister is 12 years old.
If, in six years, the difference in age between the older sister and younger brother will be eight years, we can figure that out by adding 6 to 4 and 12.
6 + 4 = 10
12 + 6 = 18
Now that we figured out the age of the younger brother and older sister, we need to check to see if the age difference is equivalent to 8.
18 - 10 = 8
In conclusion, the girl is 8 years old.