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
monitta
3 years ago
10

The sum of the digits of a given two digits the new numbers is 5 .if the digits are reversed, the new number is reduced by 27 .

find the given number ​
Mathematics
1 answer:
sleet_krkn [62]3 years ago
5 0

Answer:. The numbers are 41 and 14

Step-by-step explanation: X and Y represent the digits. In the Tens place, the digit has 10× its base value. Therefore we can set up equations to model the information given:

10x+y = 10y + x +27

X + Y = 5

y =5-x rewritten to substitute for y

10x + 5-x = 10(5-x)+x +27

Distribute and then combine like terms:

9x +5 = 50 - 9x +27

Add 9x to both sides; subtract 5 from both sides.

9x +9x = 50+27-5

18x = 72 Combine like terms. Then divide both sides to solve for x.

x = 4

4+y=5 Substitute 4 for x; solve for y.

y=1

Substitute values of x and Y into the original equation and check.

40 +1 = 10 +4 + 27

41 = 14+ 27

True! 41=41

The numbers are 41 and 14.

You might be interested in
Write the slope-intercept form of the equation that passes through the point (4,-6) and is parallel to the line y = -3/4x - 5
Karolina [17]

The equation that runs through the location (4,-6) has the slope-intercept form,  y=-\frac{3}{4}x-3 .

<h2>Formation of the equation</h2>

A line's equation written in the slope-intercept form:

y=mx+b

where m= slope & b= y-intercept

The slope of two parallel lines is equal.

Currently, we know the line's equation:

y=-\frac{3}{4} x-5

here, slope, m= -\frac{3}{4}

A line equation is created by adding the slope's value and the point's coordinates (4, -6):

-6=-\frac{3}{4}(4)+b

⇒ -6=-3 +b [adding 3 to both sides]

⇒-3=b

⇒b= -3

Hence the solution is  y=-\frac{3}{4}x-3 .

Learn more about slope-intercept form here:

brainly.com/question/9682526

#SPJ4

5 0
2 years ago
What is the value of minus 6 x cubed minus y squared minus 3 x y if if x = -2 and y = 4
Oksi-84 [34.3K]

Well, "minus 6 x cubed minus y squared minus 3 x y" translates to:

-6x^{2} -y^{2} -3xy

Then, if we insert the values for x and y, we get:

-6(-2)^{2} -(4)^{2} -3(-2)(4)

When we distribute and multiply:

144-16-24

And once we combine like terms:

104<em> is the answer</em>


8 0
3 years ago
Read 2 more answers
What is true about open-end credit? OA It is not typically used for a single purchase but for many purchases over a period of ti
Nitella [24]

Answer:

Option B

Step-by-step explanation:

Open end credit 's biggest example is our credit card

  • You use credit card and take the money borrow from bank as per your requirement.
  • If you pay in time your credit score increases else decreases.

Option B is correct

7 0
2 years ago
Samaria has 6 more than three times as many pieces of candy as Sydney. Samaria has 36 pieces of candy. How many does Sydney have
Vlad1618 [11]
Sam=3syd+6 and sam=36, since sam=sam we can say:

3syd+6=36

3syd=30

syd=10

So Sydney has 10 pieces of candy.
5 0
3 years ago
Read 2 more answers
What is the solution to (4x – 23) 2 – 3 = 2?
deff fn [24]

Step-by-step explanation:

(4x-23)2-3=2

(4x-23)(-1)=2

4x-23= -2

4x= -2+23

=21

x=21/4

=5.2

4 0
3 years ago
Other questions:
  • 0.425 as a fraction in simplest form
    10·1 answer
  • Ava buys a book for $8.58. She pays with a $10 bill. How much change will she get?
    11·2 answers
  • I will give free brainliest :)
    13·2 answers
  • Find the slope of aline parallel to each given line
    8·2 answers
  • Help please, I really need to get this test passed
    13·1 answer
  • PLEASE ANSWER I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS GOOD PLEASE
    7·2 answers
  • A little boy stands on a carousel and rotates around the road four times. The distance between the little boy and the center of
    11·1 answer
  • Eight times the quotient of x and 2
    11·1 answer
  • Lolita, Paco, Óscar y María están en una carrera de bicicletas. Lolita lleva 3/5 del trayecto, Paco 4/7, Óscar 3/4 y María 1/2,
    13·1 answer
  • Please help me asap.​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!