Question

The ratio of Claras age of her mother is 3:11 the difference between their ages is 24 years. There ages after 3 years will be?

Answer 1

Clara = 12

Mother = 36

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:

`(c)/(m)=(3)/(11)`

Age difference is 24, thus we can write:

m - 24 = c

We put this into 1st equation and solve for m first:

`(c)/(m)=(3)/(11)\\(m-24)/(m)=(3)/(11)`

Now we solve:

`(m-24)/(m)=(3)/(11)\\11m-264=3m\\8m = 264\\m = 33`

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