Question

Let K and T be the current ages of siblings, Katie and Thomas. Katie is currently twice the age of Thomas. In 6 years, Katie will be 4 times Thomas’s current age.

How old are Katie and Thomas?

Answer 1

Katie = 6 years

Thomas = 3 years

Step-by-step 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