Their ratio bases off of 3:2. 3 representing the brother, 2 representing the sister.
I guess the way it works is that the brother is 1.5 times the sister's age, we can conclude that the sister's age can be represented by 'x' whereas the brother is represented as '1.5', together they ran a total of 300 yards, so we can use this to set up the problem:
x + 1.5x = 300 - Now we add like terms:
2.5x = 300 - Divide.
x = 120 - Of course upon adding that back in we just reroute back to only knowing how far they ran.
The problem is this, we have no idea what the variable is to determine their ages, the ratio is 3:2, but... the only solutions I can think of are:
If 10 yards = 1 Year of age(roughly) we have:
18 = Brother
12 = Sister
If 20 yards = 1 Year of age(roughly) we have:
9 and 6.
Regardless I can't say for certain what their ages are. :/
