kelsis mom, sue is eight times as old as kelsi. in 10 years, sue will be three times as old as kelsi. how old are kelsi and sue now?

Mathematics · College · Thu Feb 04 2021

Answered on

Let the age of Kelsis be x years

Then, age of mom will be 8x

After 10 years :

Kelsis' age = (x + 10) yr

Mom's age = (8x + 10) yr

According to question:

8x + 10 = 3(x + 10)

8x + 10 = 3x + 30

Transposing 3x and 10 to other side, we get 

8x - 3x = 30 - 10

5x = 20

Dividing both sides by 5, we get

5x/5 = 20/5

x = 4

Mom's age = 8x

= 8 × 4

= 32 years

 

Thus, kesis and her mom's ages are 4 years and 32 years respectively.