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.

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !