Question

The sum of the two girls' ages is 24, and the difference between their ages is 6. What are the girls' ages?

Answer 1

First, let's create two variables to express the girls' ages.

x=age of girl 1

y = age of girl 2

Now, let's create our expressions

x+y = 24

x-y=6

Let's solve by elimination

2x = 30

Divide both sides by 2

x=15

We can plug 15 in for x into one of our expressions

15 + y = 24

Subtract both sides by 15

y = 9

The older girl is 15 years old and the younger girl is 9 years old.

Answer 2

The older girl is (15) years old
The younger girl is (9) years old