Answer:
susan´s age=4
jack´s age=31
Step-by-step explanation:
Hello!
To solve the first part of this problem we must propose a system of equations of 2 x2, that is to say two equations with two unknowns where
J = is the age of jack
S = susan's age
with the above the following two equations are inferred
ecuation 1
J=S+27
ecuation 2
(J+5)=4(s+5)
J=4S+20-5
J=4S+15
now to solve we subtract equation 1 from equation 2 as follows
J=4S + 15
-
J=S + 27
___________
0=4S-S+15-27
0=3S-12
[tex]S=\frac{12}{3}=4[/tex]
susan is 4 years old
now we use the ecuation number 1
J=S+27
J=4+27=31
jack is 31 years old
b.
Finally, to verify that the answer is correct, we replace the ages of jack and susan in equation 2.
(J+5)=4(s+5)
(31+5)=4(4+5)
36=36
as the equation is the same means that our answer is correct
