Question

⦁ Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 24. How old is each sister?
⦁ Write an equation that represents the situation. Explain any variable used.
⦁ Solve the equation from Part (a). Show your work. State your solution as a complete sentence.

Answer 1

Answer:

Kim is 16 years old and her sister is 8 years old.

Step-by-step explanation:

We can use equations to represent this scenario.

Let Kim's age be 'k' and her sister's age be 's'.

Thus, k=2s (since Kim's age is double of her sister)

and k+s=24 (their ages add to 24 (from question)

Substituting the first equation:

2s+s=24

3s=24

s=8

Therefore, Kim's sister is 8 years old.

Now substitute this value into the second equation:

k+8=24

k=16

Therefore, Kim is 16 years old.