Randy is four times as old as Kenneth and Randy is 36 years older than Kenneth i) How old is Kenneth?
ii) How old is Randy?

Kenneth: 12 years old

Randy: 48 years old

Step-by-step explanation:

For this problem, we can use system of equations to solve. Let's use r for Randy and k for Kenneth.

Equation 1

r=4k

This equation comes from the first part, where Randy is four times as old as Kenneth.

Equation 2

r=36+k

This equation comes from the second part, where Randy is 36 years older than Kenneth.

Since we have r=, we can use substitution method.

4k=36+k                   [subtract both sides by k]

3k=36                       [divide both sides by 3]

k=12

Now that we have found k, we can plug that into any equation to find r.

r=4(12)                      [multiply]

r=48

Now, we know that Randy is 48 years old and Kenneth is 12 years old.