Question

Dentro de 15 años la edad de Jorge será el doble de la de Eduardo si hace 6 años la de Jorge era triple la de Eduardo, hallar la suma de las edades actuales de ambos

Answer 1

Answer: The sum of their ages is 42

Step-by-step explanation:

This can be translated to:

in 15 years from now, Jorge's age will be 2 times the age of Eduardo.

If 6 years ago the age of Jorge was the triple of the one of Eduardo.

Find the sum of their ages:

If E is Eduardo's age and J is Jorge's age, we have a system of equations:

J + 15 = 2(E + 15)

J - 6 = 3*E

The first step is isolating one of the variables in one of the equations, let's isolate J in the second equation:

J - 6 = 3E

J = 3E  +6

Now we can replace it in the first equation:

J + 15 = 2E

3E + 6 + 15 = 2E + 30

3E + 21 = 2E + 30

3E - 2E = 30 - 21 = 9

E = 9

Eduardo is 9 years old:

J = 3E + 6 = 3*9 + 6 = 27 + 6 = 33

Jorge is 33 years old.

then E + J = 33 + 9 = 42