Answer:
Lori's age is 15 years old and Michelle's age is 5 years old now
Step-by-step explanation:
Let
x-----> Lori's age
y ----> Michelle's age
we know that
[tex]x=3y[/tex]-----> equation A
[tex](y+5)=\frac{1}{2}(x+5)[/tex] ----> equation B
substitute equation A in equation B and solve for y
[tex](y+5)=\frac{1}{2}(3y+5)[/tex]
[tex]2y+10=(3y+5)[/tex]
[tex]3y-2y=10-5[/tex]
[tex]y=5[/tex]
Find the value of x
[tex]x=3(5)=15[/tex]
therefore
Lori's age is 15 years old and Michelle's age is 5 years old now
