Question

Kayla is 6 years older than Matt. The sum of their ages is 48. How old are Kayla and Matt? Use the ACE form below and a system of equations to solve this problem.

a) Kayla is 27 years old, and Matt is 21 years old.
b) Kayla is 21 years old, and Matt is 27 years old.
c) Kayla is 24 years old, and Matt is 18 years old.
d) Kayla is 18 years old, and Matt is 24 years old.

Answer 1

a

Step-by-step explanation:

hope this helps :)

Answer 2

To solve this problem, set up a system of equations. Kayla is 6 years older than Matt (K = M + 6) and their combined ages sum to 48 (K + M = 48). Solving these equations shows that Kayla is 27 years old, and Matt is 21 years old.

Step-by-step explanation:

To solve this problem, we need to set up a system of equations based on the information given:

• Let Kayla's age be K and Matt's age be M.
• From the first statement, 'Kayla is 6 years older than Matt,' we get the equation: K = M + 6.
• From the second statement, 'The sum of their ages is 48,' we get the equation: K + M = 48.

We can use substitution to solve for one variable. We'll substitute K from the first equation into the second equation:

• (M + 6) + M = 48
• 2M + 6 = 48
• 2M = 42
• M = 21

Now that we know Matt's age, we can find Kayla's age:

• K = M + 6
• K = 21 + 6
• K = 27

Kayla is 27 years old, and Matt is 21 years old.

The correct option is: (a) Kayla is 27 years old, and Matt is 21 years old.