Question

Kevin is [3] years older than Daniel. Two years ago, Kevin was [4] times as old as Daniel. Let [k] be Kevin's age and let [d] be Daniel's age. Which system of equations represents this situation?

Option 1: k - d = 3, k - 2 = 4(d - 2)
Option 2: d - k = 3, 2k = 4d
Option 3: d - k = 3, k - 2 = 4(d - 2)
Option 4: k - d = 3, 2k - 2 = 4(d - 2)

Answer 1

The correct system of equations that represents this situation is k - d = 3, k - 2 = 4(d - 2).

Step-by-step explanation:

The correct system of equations that represents this situation is Option 1: k - d = 3, k - 2 = 4(d - 2).

To solve the problem, we can set up the equations based on the given information. Since Kevin is 3 years older than Daniel, we have k - d = 3. And since two years ago, Kevin was 4 times as old as Daniel, we have k - 2 = 4(d - 2).

Thus, the correct system of equations is k - d = 3 and k - 2 = 4(d - 2).