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
viva [34]
3 years ago
14

numbers%3F" id="TexFormula1" title="The sum of two numbers is57 and the difference is3 . What are the numbers?" alt="The sum of two numbers is57 and the difference is3 . What are the numbers?" align="absmiddle" class="latex-formula">
Mathematics
2 answers:
gogolik [260]3 years ago
6 0

Answer:

The numbers are 27 and 30

Step-by-step explanation:

The two numbers are x and y

x+y = 57

x-y = 3

Add the two equations together to eliminate y

x+y = 57

x-y = 3

---------------

2x = 60

Divide by 2

2x/2 = 60/2

x = 30

x+y = 57

30 + y = 57

y = 57-30

y = 27

The numbers are 27 and 30

Sedaia [141]3 years ago
6 0

The sum of two numbers is 57, and the difference is 3.

Give each number a variable (as you do not know what they are): x , y

Set the equations:

"The sum of two numbers is 57": x + y = 57

"The(re) difference is 3": x - y = 3

Isolate one of the variables in the second equation. Add y to both sides:

x - y (+y) = 3 + y

x = 3 + y

Plug in "3 + y" for x in the first equation:

3 + y + y = 57

Simplify. First, combine like terms:

3 + (y + y) = 57

3 + 2y = 57

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS*.

*PEMDAS is the order of operation.

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 3 from both sides:

2y + 3 = 57

2y + 3 (-3) = 57 (-3)

2y = 57 - 3

2y = 54

Next, divide 2 from both sides:

(2y)/2 = (54)/2

y = 54/2

y = 27

Plug in 27 for y in one of the equations:

x = 3 + y

x = 3 + (27)

x = 3 + 27

x = 30

x = 30 , y = 27 is your answer.

~

Check:

"The sum of two numbers is 57": x + y = 57

30 + 27 = 57

57 = 57 (True)

"The(re) difference is 3": x - y = 3

30 - 27 = 3

3 = 3 (True)

You might be interested in
Classify triangle ABC. Justify your classification
dmitriy555 [2]
The classify triangle ABC is the acute,obtuse,right,or equilateral.
4 0
2 years ago
Solve 34x17 using area model
Amiraneli [1.4K]
Your answer is gonna be 578
8 0
3 years ago
17 and 20 pleaaaasssseeee I have an A- and I don't want a B in math!!! B'S ARE VERY BAD MY MOM WILL KILL ME
STatiana [176]
17)is a square
20) 36x2=72
72 divided by 8 =9
The base is 9 inches
5 0
3 years ago
9.) 6 less than twice a number is less than or<br> Write inequality and for problem<br> equal to 10.
DerKrebs [107]

Answer:

Write inequality and for problem

equal to 10.

6 0
2 years ago
the product of two positive integers is 490 if the first integer is 7 greater than twice the second integer, what is the smaller
Ivan

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: The second integer is smaller

x = 161

Explanation:

2x + 7 + x= 490

3x + 7 = 490

x = 161

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

7 0
3 years ago
Other questions:
  • Enter an expression that represents the following statement, and then solve the expression.
    11·1 answer
  • A cylinder has a radius 26 and a volume of 63,679 ft3.
    5·2 answers
  • What is 5 radians converted to degrees? If necessary, round your answer to the nearest degree.
    6·1 answer
  • Some one pls help ASAP I’m begging. (Please show work, just number 7.)
    5·1 answer
  • If h(x) = x - 7 and g(x) = x^2, which expression is equivalent to (gºh) (5)?
    10·1 answer
  • How many arches are in an equilateral triangle
    15·2 answers
  • LOOK AT PICTURE,THEN ANWSER QUESTION, WHOEVER ANSWERS CORRECT I WILL MARK BRAINIEST!!
    8·1 answer
  • Try to solve this if you can​
    5·2 answers
  • Joe is installing a light fixture on a wall using a 10 foot ladder. A flower garden is planted along the wall, so Joe must place
    8·1 answer
  • The black graph is the graph of y = f(x).
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!