Answer:
Katie = 6 years
Thomas = 3 years
Explanation:
Let
Katie = k years
Thomas = T years
Katie is currently twice the age of Thomas
K = 2T
In 6 years, Katie will be 4 times Thomas’s current age.
K + 6 = 4T
Recall,
K = 2T
Substitute K = 2T into the equation
K + 6 = 4T
2T + 6 = 4T
6 = 4T - 2T
6 = 2T
T = 6/2
= 3
T = 3 years
Substitute T = 3
K = 2T
= 2 × 3
= 6
K = 6 years
