Question

Michael's age is 3 years more than twice Jayden's age. The sum of their ages is 24. How old are Michael and Jayden?

A) Michael is 15 years old and Jayden is 9 years old.
B) Michael is 12 years old and Jayden is 6 years old.
C) Michael is 9 years old and Jayden is 15 years old.
D) Michael is 6 years old and Jayden is 12 years old.

Answer 1

Jayden is 7 years old and Michael is 17 years old.

Step-by-step explanation:

Let's solve this problem using algebraic equations. Let Jayden's age be x. Michael's age can be represented as 2x + 3, as it is 3 years more than twice Jayden's age.

According to the problem, the sum of their ages is 24.

So, we can write the equation x + (2x + 3) = 24.

Simplifying the equation, we get 3x + 3 = 24.

Subtracting 3 from both sides of the equation, we have 3x = 21.

Dividing both sides of the equation by 3, we get x = 7.

Therefore, Jayden's age is 7 years.

Substituting this value in the equation 2x + 3, we get Michael's age as 2 * 7 + 3 = 14 + 3 = 17 years.

So, Michael is 17 years old and Jayden is 7 years old.

Therefore, the correct answer is A) Michael is 17 years old and Jayden is 7 years old.