Question

Identificar la ecuación

La mitad de la edad de jorge equivale a la edad de Marcela ;disminuida en 15años; por otro lado la suma de las edades de jorge y Marcela es de 63 años cumplidos

Answer 1

The equations in the procedure

Jorge's age is 32 and Marcela's age is 31

Explanation:

The question in English

Identify the equation

Half of the age of Jorge is equivalent to the age of Marcela decreased by 15 years; on the other hand the sum of the ages of Jorge and Marcela is 63 years of age.

Let

x ----->Jorge's age

y -----> Marcela's age

we know that

`(x)/(2)=y-15` ------> equation A

`x+y=63`

`x=63-y` ------> equation B

Solve the system of equations by substitution

Substitute equation B in equation A and solve for y

`(63-y)/(2)=y-15`

`63-y=2y-30`

`2y+y=63+30`

`3y=93`

`y=31`

Find the value of x

`x=63-y`

`x=63-31`

`x=32`

therefore

Jorge's age is 32 and Marcela's age is 31