1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anna007 [38]
2 years ago
12

There are two numbers. The first number minus the second number is 15. One-third of the sum of the numbers is one quarter of the

first number. What are the two numbers?
Mathematics
2 answers:
natali 33 [55]2 years ago
5 0

Answer:

12 and -3

Step-by-step explanation:

Let's assume the first number to be X And

The second number to be Y

First statement says that X - Y = 15_____ equation 1

And the second statement says that

1/3 × (X + Y) = (1/4 × X)

Open up the above bracket and expand the equation and we have

4x + 4y = 3x

X + 4Y = 0_______equation 2

From equation 1 which is x - y = 15,

Make X the subject of the formula and replace in equation 2

X = 15 + y

Replace the above in equation 2

(Which is X + 4Y = 0)

15 + y + 4y = 0

15 + 5y = 0

Y = -3

Now substitute Y = -3 in equation 1 above

X - Y = 15

X-(-3) = 15

X + 3 = 15

X = 12.

Both numbers are therefore, 12 and -3 respectively

disa [49]2 years ago
4 0

Answer:

So the numbers are 12 and -3.

Step-by-step explanation:

In order to solve this problem we will attribute variables to the numbers, the first one will be "x" and the second one will be "y". From the first sentence we know that the subtraction of the two numbers is equal to 15, so we have:

x - y = 15

Then the problem states that one-third of the sum of the number is equal to one quarter of the first number, so we have:

(1/3)*(x+y) = x/4

Since we now have two equations and two variables we can solve for x and y. From the first equation we have:

y = x - 15

Using this expression for the value of y in the second equation:

(1/3)*(x + x - 15) = x/4

(1/3)*(2*x - 15) = x/4

2*x - 15 = 3*x/4

2*x - 3*x/4 = 15

(8*x - 3*x)/4 = 15

5*x/4 = 15

5*x = 60

x = 60/5 = 12

y = x - 15 = 12 - 15 = -3

So the numbers are 12 and -3.

You might be interested in
I need help im doing BODMAS and i dont really understand:
mars1129 [50]

Answer:

.6 x 7.2 + 1.4

Then, 4.32 + 1.4

=5.72

4 0
2 years ago
On average, Mercury is about 57,000,000 km from the sun , whereas Neptune is about 4.5*10^9 km from the sun. What is difference
lbvjy [14]
18,000,000 kilometers
4 0
3 years ago
Solve<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B2%20%5Ctimes%202%282%20%5Ctimes%204%29%7D%7B8%7D%20" id="TexFormula1" ti
creativ13 [48]
The answer is three you have to times the top numbers and divide
8 0
2 years ago
Read 2 more answers
Please asap homework help
algol [13]

Answer:

21

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Evaluate.
lana66690 [7]
53-(64:8)+102=53-8+102=147
4 0
3 years ago
Read 2 more answers
Other questions:
  • A rental company charges a flat fee of $25 and an additional $0.40 per mile to rent a car. Has to be a linear equation.
    13·1 answer
  • Jacqueline is checking her bicycle’s wheel. The wheel has a radius of 20 cm, and its center is 51 cm above the ground. Jacquelin
    14·1 answer
  • the sale price for basic auto-up is $109, a tire rotation is $29, and an oil change is $25. find the total cost for all the serv
    15·2 answers
  • Helppppp!
    9·2 answers
  • Geometry help needed!
    5·1 answer
  • Hiii dont mind the answer that i put but im not sure if im right, can someone please help me?
    9·1 answer
  • Sin (3x)cos(6x) - cos (3x) sin(6x)=-0.9
    10·2 answers
  • Which expression is equal to 4√32 • √2<br> A. 16<br> B. 4√2<br> C. 32<br> D. 16 √2
    10·1 answer
  • Help I’m being timed!!!!
    13·1 answer
  • Zachary travels on a journey of 50 miles. He spends half of
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!