Question

Lori is three times as old as Michelle. In five years Michelle's age will be one half of Lori's age. How old are Lori and Michelle now?

Answer 1

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

$x=3y$-----> equation A

$(y+5)=\frac{1}{2}(x+5)$ ----> equation B

substitute equation A in equation B and solve for y

$(y+5)=\frac{1}{2}(3y+5)$

$2y+10=(3y+5)$

$3y-2y=10-5$

$y=5$

Find the value of x

$x=3(5)=15$

therefore

Lori's age is 15 years old and Michelle's age is 5 years old now