Question

Hace dos años la edad de ana era la quinta parte de la edad de su padre, dentro de siete años sus edades sumaran 58 años. Calcula dus edades actualmente

Answer 1

Ana's age is 8.66 years and her father's age is 35.33 years

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