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
Yakvenalex [24]
3 years ago
6

The sum of 3 consecutive integers is 72 find the integers

Mathematics
2 answers:
mote1985 [20]3 years ago
7 0
Consecutive integers are numbers that follow after each other. So 1,2,3,4,5 are consecutive integers

We need 3 consecutive integers that is 72. Note the word is means =

We can set this up like the following: 
x  + (x + 1) + (x+2) = 72
Now combine like terms
x +x + x = 3x
1 + 2  =  3

3x + 3 = 72
Solve for x
3x + 6 = 72
3x = 72 - 3
3x = 69
3x / 3 = 69 / 3
x = 23


Now that we have solved for the first x, which is 23, we plug this into (x + 1) and (x + 2) to solve the other numbers we need

x + (x + 1) + (x + 2) = 72

(x + 1) = (23 + 1) = 24
(x + 2) = (23 + 2) = 25


So we have the following:

x = 23
(x + 1) = (23 + 1) = 24
(x + 2) = (23 + 2) = 25

Our answers are 23, 24, 25, which are consecutive number and when you add them, they = 72
Elis [28]3 years ago
5 0
-----------------------------------------
Define x :
-----------------------------------------
Let the smallest number be x.
The other two numbers will be x + 1 and x + 2.

-----------------------------------------
Construct Equation :
-----------------------------------------
Sum of these numbers is 72
⇒ x + x + 1 + x + 2 = 72

-----------------------------------------
Solve for x :
-----------------------------------------
x + x + 1 + x + 2 = 72
3x + 3 = 72
3x = 69
x = 23

-----------------------------------------
Find the numbers :
-----------------------------------------
1st number = x = 23
2nd number = x + 1 = 23 + 1 = 24
3rd number = x + 2 = 23 + 2 = 25

----------------------------------------------------------------------------------
Answer : The numbers are 23, 24 and 25.
----------------------------------------------------------------------------------
You might be interested in
Solve: XC - XV. Show your answer as a Roman Numeral. Standard Roman Number Numeral 1 1 5 V 10 Х 50 L 100 С C 500 D 1,000 M OA) V
Keith_Richards [23]

Answer:

5,6,7

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

6 0
2 years ago
Plot the points (-10,3) and (-10, –6)<br>​
wariber [46]
I don’t know because you don’t show any chart
6 0
3 years ago
Read 2 more answers
6x + 5y = 4<br> - 6x + y = 20
Masja [62]

Answer:

x = -8/3

y = 4

Step-by-step explanation:

I assume you want to solve for x and y.

The best way to do this with the two formulas given is elimination. This means add the two equations together.

6x + 5y = 4

-6x + y = 20

The 6 x and -6x will cancel each other. By adding the like terms of the two together you will come out with

6y = 24

Now solve for y by dividing both sides by the 6.

y = 24/6 = 4

Now that we have y, you can plug it into one of the equations and solve for x.

Let's use -6x + y =20.

So plug in the 4 for y to get -6x + 4 = 20

Subtract the 4 from both sides then solve for y by dividing both sides by the -6.

-6x = 16

x = -16/6

You can reduce that down so that x = -8/3.

5 0
3 years ago
Read 2 more answers
If you borrow $500 for 6 years at an annual interest rate of 7% ,how will you pay all togther
Vlad [161]

Answer:

$3,210

Step-by-step explanation:

7% of 500 = 35

35 + 500 = 535

535 x 6 = 3,210

Answer = You would pay $3,210 all together.

6 0
3 years ago
Casey deposited $1,450 in a bank account with an interest rate of 4%. How much simple interest was earned in two years?
vekshin1

Answer:

$116

Step-by-step explanation:

The Simple Interest formula is i = prt.  Here,

i = ($1,450)(0.04)(2 yr) = $116

3 0
3 years ago
Other questions:
  • The fifth graders are planning a pizza party. Each fifth grader will eat two slices of pizza with a favorite topping. Each fifth
    11·1 answer
  • Solve:<br> 1.3c + 25 - 6,4<br> Question 2:
    9·1 answer
  • You decide to become a neurosurgeon. after high school, you will need four years of college, four years of medical school, five
    7·2 answers
  • Liz Williams claims to have psychic abilities and predict the future. Anderson Cooper, a CNN personality plans to test her in hi
    9·1 answer
  • Which of the following equations best describes a square root function that is reflected across the x-axis and has a vertex of (
    9·1 answer
  • If z=4.0 and y=5.6, what is the value of x?
    7·1 answer
  • In 2014, Chile experienced an intense earthquake with a magnitude of 8.2 on the Richter scale. In 2010, Haiti also experienced a
    11·1 answer
  • The formula p = 2i + 2w means that the perimeter of a rectangle is equal to twice the sum of its length and its width.
    6·2 answers
  • HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
    7·2 answers
  • Cuanto es 45+45+45+45+45+45+45+45.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!