Question

cameron is 3 years old older than karlee. karlee is two years older than denise. the sum of cameron,karlee,and denise age is 49. how old is each person?

Answer 1

Cameron is 19 years old, Karlee is 16 years old, and Denise is 14 years old.

Step-by-step explanation:

Let's start by assigning variables to each person's age. Let's say Cameron's age is C, Karlee's age is K, and Denise's age is D.

Based on the given information:

1. C = K + 3 (Cameron is 3 years older than Karlee)
2. K = D + 2 (Karlee is two years older than Denise)
3. C + K + D = 49 (The sum of their ages is 49)

Substituting the second equation into the first equation, we have:

C = (D + 2) + 3 = D + 5

Now, we can substitute these values into the third equation:

(D + 5) + (D + 2) + D = 49

Combining like terms, we get:

3D + 7 = 49

Subtracting 7 from both sides, we get:

3D = 42

Dividing both sides by 3, we get:

D = 14

Now that we know Denise's age, we can substitute it back into the second equation to find Karlee's age:

K = 14 + 2 = 16

Finally, substituting the values of Karlee and Denise into the first equation, we can find Cameron's age:

C = 16 + 3 = 19

Therefore, Cameron is 19 years old, Karlee is 16 years old, and Denise is 14 years old.

Answer 2

Subtract 5 (Cameron) and 2 (Karlee) from 49.

Why: Denise's age is basically the basic number. Karlee would be 2 years older, so subtract 2 from 49. You get 47. Cameron is 5 years older than Denise, so subtract 5. You get 42 and divide that by 3 since there are 3 people.

49 - 7 = 42

42 divide by 3 = 14

Check:

14 + 5 = 19

14 + 2 = 16

14 + 0 = 14

19 + 16 + 14 = 49

19 (Cameron) - 16 (Karlee) = 3 years older

16 (Karlee) - 14 (Denise) = 2 years older

19 (Cameron) - 14 (Denise) = 5 years older

Hopes this helps!