Answer:
Clara = 12
Mother = 36
Step-by-step explanation:
Let
Clara's age be "c" and her mom's age is "m"
Ratio of Clara to Mom is 3 is to 11, thus we can write:
[tex]\frac{c}{m}=\frac{3}{11}[/tex]
Age difference is 24, thus we can write:
m - 24 = c
We put this into 1st equation and solve for m first:
[tex]\frac{c}{m}=\frac{3}{11}\\\frac{m-24}{m}=\frac{3}{11}[/tex]
Now we solve:
[tex]\frac{m-24}{m}=\frac{3}{11}\\11m-264=3m\\8m = 264\\m = 33[/tex]
So, c = 33 - 24 = 9
So, Clara's age = 9 and her Mother's age = 33
So after 3 years:
Clara = 9 + 3 = 12
Mother = 33 + 3 = 36
