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Paha777 [63]
3 years ago
7

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 wi

ll 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

Mathematics
1 answer:
Alika [10]3 years ago
7 0

Answer:

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.

⇒K = 2T                ......[1]

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

K+6 = 4T

K+6 = 4T

Subtract 6 from both sides we get;

K = 4T-6                    ......[2]

A system of equations that describe the situation is:

K = 2T

K+6 = 4T

(b)

To find the solution:

equate [1] and [2] we have;

4T-6 = 2T

Subtract 2T from both sides we have;

2T-6 = 0

Add 6 to both sides we get;

2T = 6

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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3 years ago
Melissa, Dan, and Henry have $87 in their wallets. Dan has 3 times what Henry has. Melissa has $8 less than Henry. How much does
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Answer:

Henry has $19, Dan has $57, and Melissa has $11

Step-by-step explanation:

Let x represent how much money Henry has

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Since Melissa has $8 less than Henry, her amount is x - 8

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(x) + (3x) + (x - 8) = 87

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So, Henry has $19

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= 57

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19 - 8

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2 years ago
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What is the Median of the numbers 45, 40, 47, 50, 45, 49, 40, 46?
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2 years ago
Points O, A, B lie on the same line. OA = 12 cm, OB = 9 cm. Find the distance between the midpoints of segments OA and OB if: Po
12345 [234]
Short Answer: 1.5
Givens
OA = 12
OB = 9
O does not lie on AB

Argument
The order that these lines must be in is OBA. O is on your left, B is in the middle and A is on your right. 

Mark your distances as follows.
OB = 9
BA = 3

Mark the midpoint of OA = M1
Mark the midpoint of OB = M2

M1 = 12 / 2 = 6 so M1 is 6 units from O
M2 = 9/2 = 4.5

The distance between the two midpoints is 6 - 4.5 = 1.5
Answer M1 - M2  = 1.5 <<<<

Nice problem: Thanks for posting.
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