Tim is 2 years younger than Mike. The sum of their ages is 96. Which is the system of equations that could be used to solve for their ages? Assume Tim's age is yy and Mike's age is xx.

Question

Answer
Attempt 1 out of 3

Equation representing Tim's age:

Equation representing the sum of their ages:

Answer 1

To set up the system of equations based on the information provided:

1. Equation representing Tim's age:
   Since Tim is 2 years younger than Mike, we can express Tim's age (y) in terms of Mike's age (x): \[ y = x - 2 \]

2. Equation representing the sum of their ages:
   The sum of Tim's age and Mike's age is given as 96: \[ y + x = 96 \]

So the complete system of equations to solve for their ages is:

1. \( y = x - 2 \)
2. \( y + x = 96 \)