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

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

Explanation:

Let

x-----> Lori's age

y ----> Michelle's age

we know that

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

`(y+5)=(1)/(2)(x+5)` ----> equation B

substitute equation A in equation B and solve for y

`(y+5)=(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