Question

Carlita tiene 8 años menos que su hermana Adriana y su madre tiene 25 años más que Adriana. Si el doble de la edad de carlita más el triple de la edad de Adriana menos 19, es igual a la edad de su madre ¿cuántos años tiene la madre? *

Answer 1

Answer: Carlita is 7 years old, Adriana is 15 years old, and the mother is 40 years old.

Explanation:

This can be translated to:

Carlita has 8 years less than her sister, Adriana.

Their mother has 25 years more than Adriana.

If the double of Carlita's age plus the triple of Adriana's age minus 19 is equal to the age of the mother.

Find the age of each of the 3.

Let's define the ages as C for Carlita, A for Adriana and M for the mother, we have the equations:

A - 8 = C

A + 25 = M

2*C + 3A - 19 = M

we have a system of equations, first, we can replace M in the second and third equation and get:

A + 25 = 2*C + 3*A - 19

Now we can replace the first equation into this new one, and solve it for A.

A + 25 = 2*(A - 8) + 3*A - 19

A + 25 = 2*A - 16 + 3*A - 19

25 + 16 + 19 = 4*A

60 = 4*A

A = 60/4 = 15.

now we can find the other two ages.

A - 8 = C

15 - 8 = 7 = C

A + 25 = M

15 + 25 = 40 = M