Answer: 24 years old
Step-by-step explanation:
Let’s assume Timothy’s age as ‘T’ and Kim’s age as ‘K’
Kim is 6 years more than twice Timothy’s age means, then Kim’s age must be
K = 2T + 6
Before two years Kim’s age must be
(2T + 6) - 2
If Kim was three times as old as Timothy then,
2T + 4 = 3(T - 2)
Here T - 2 indicates Timothy’s age before 2 years
So trying to solve the equation
2T + 4 = 3(T - 2)
2T + 4 = 3T - 6
4 + 6 = 3T - 2T
T = 10
Calculating Kim’s age now
K = 2T + 4
= 2(10) + 4
= 20 + 4
K = 24
Kim was 24 two years ago and Timothy was 10 .
