Answer:
The equations in the procedure
Jorge's age is 32 and Marcela's age is 31
Step-by-step 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
[tex]\frac{x}{2}=y-15[/tex] ------> equation A
[tex]x+y=63[/tex]
[tex]x=63-y[/tex] ------> equation B
Solve the system of equations by substitution
Substitute equation B in equation A and solve for y
[tex]\frac{63-y}{2}=y-15[/tex]
[tex]63-y=2y-30[/tex]
[tex]2y+y=63+30[/tex]
[tex]3y=93[/tex]
[tex]y=31[/tex]
Find the value of x
[tex]x=63-y[/tex]
[tex]x=63-31[/tex]
[tex]x=32[/tex]
therefore
Jorge's age is 32 and Marcela's age is 31
