Let k and t be the current ages of two 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* write a system of equations to describe the situation * find the solution to the system and answer the question

Here, K represents the current age of Katie and T represents the current age of Thomas.

(a)

As per the statement:

Katie is currently twice the age of Thomas.

⇒                ......[1]

It is also given that in 6 years Katie will be 4 times Thomas's current age.

Subtract 6 from both sides we get;

                   ......[2]

A system of equations that describe the situation is:

(b)

To find the solution:

equate [1] and [2] we have;

Subtract 2T from both sides we have;

Add 6 to both sides we get;

Divide both sides by 2 we have;

T = 3 years

Substitute this in equation [1] we get;

K = 2(3) = 6 years.

Therefore, the current age of Katie and Thomas are 6 years and 3 years.

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