Question

Stevie's age is 2/3 ella's age. together, their ages sum to 20. find stevens age

Answer 1

Answer: Stevie's age = 8, Ella's age = 12

Explanation:

What we know is that Stevie is 2/3 of Ella's age, and Stevie's age + Ella's age = to 20.

In order to figure out what is Stevie's age, we need to figure out Ella's age first. We will use variable e for Ella's age, and variable s for Stevie's age.

We will use these variables to build our equation

we can put
`(2)/(3)e` since we know 2/3 of Ella's age is equal to Stevie's age

`(2)/(3)e` + e = 20

now we isolate the variable, (e) by multiplying by 3 on both sides of the equation

SO it will look like this,

2e+3e=60

then, we collect like terms, by adding 3e+2e

5e=60

then we divide both sides by 5 to isolate the e from the 5,

e=12.

Now we have found out Ella's age and we can plug that in to our second equation s=
`(2)/(3)e` to find out Stevie's age

s =
`(2)/(3)(12)`

and two-thirds of twelve is 8, so s=8

Stevie's age is 8 and Ellie's age is 12