Answer:
Ana's age is 8.66 years and her father's age is 35.33 years
Step-by-step explanation:
Let's call Ana's age 'x', and her father's age 'y'.
If two years ago, Ana's age was one fifth of her father's age, we can write this equation:
(x-2) = (y-2)/5
After seven years, the sum of their ages will be 58, so:
(x+7) + (y+7) = 58
From the first equation:
5x - 10 = y - 2
y = 5x - 8
from the second equation:
x + y = 44
using the value of y, we have:
x + 5x - 8 = 44
6x = 52
x = 8.66
Now we can find y:
8.66 + y = 44
y = 35.33
So Ana's age is 8.66 years and her father's age is 35.33 years
