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 Daniels age. What system of equations would represent this situation?

Answer 1

Answer:

Daniel (now) is 3 years old,  (2 years ago) is 1 year old.

Kevin (now) is 6 years old,   (2 years ago) is 4 years old.

Step-by-step explanation:

Now:

-Kevin: k = d + 3

-Daniel: d

2 years ago:

-Kevin: k - 2 = 4(d - 2)

-Daniel: d - 2

We have the equation:

(k - 2) + 2 = k

4(d - 2) + 2 =  d + 3

4d - 8 + 2 = d + 3

3d - 6 = 3

3d = 9

d = 3

k = d + 3 = 3 + 3 = 6