QuestionFind two consecutive integers whose sum is 183. What are the integers?

Studdy Solution

STEP 1

Assumptions1. The two numbers are integers. The two numbers are consecutive, meaning one number is exactly one more than the other3. The sum of the two numbers is183

STEP 2

Let's denote the two consecutive integers as $x$ and $x +1$ .

STEP 3

We know that the sum of these two integers is183. So, we can write the equation as $x + (x +1) =183$

STEP 4

implify the equation by combining like terms.
$2x +1 =183$

STEP 5

Subtract1 from both sides of the equation to isolate the term with $x$ .
$2x =183 -1$

STEP 6

Calculate the right side of the equation.
$2x =182$

STEP 7

Divide both sides of the equation by2 to solve for $x$ .
$x =182 /2$

STEP 8

Calculate the value of $x$ .
$x =91$

STEP 9

Now that we have the value of $x$ , we can find the next consecutive integer by adding to $x$ .
$x + =91 +$

STEP 10

Calculate the value of the next consecutive integer.
$x + =92$ The two consecutive integers are91 and92.

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QuestionFind two consecutive integers whose sum is 183. What are the integers?

Studdy Solution

STEP 1

Assumptions1. The two numbers are integers. The two numbers are consecutive, meaning one number is exactly one more than the other3. The sum of the two numbers is183

STEP 2

Let's denote the two consecutive integers as $x$ and $x +1$ .

STEP 3

We know that the sum of these two integers is183. So, we can write the equation as $x + (x +1) =183$

STEP 4

implify the equation by combining like terms.
$2x +1 =183$

STEP 5

Subtract1 from both sides of the equation to isolate the term with $x$ .
$2x =183 -1$

STEP 6

Calculate the right side of the equation.
$2x =182$

STEP 7

Divide both sides of the equation by2 to solve for $x$ .
$x =182 /2$

STEP 8

Calculate the value of $x$ .
$x =91$

STEP 9

Now that we have the value of $x$ , we can find the next consecutive integer by adding to $x$ .
$x + =91 +$

STEP 10

Calculate the value of the next consecutive integer.
$x + =92$ The two consecutive integers are91 and92.

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QuestionFind two consecutive integers whose sum is 183. What are the integers?

Studdy Solution

STEP 1

Assumptions1. The two numbers are integers. The two numbers are consecutive, meaning one number is exactly one more than the other3. The sum of the two numbers is183

STEP 2

Let's denote the two consecutive integers as xxx and x+1x +1x+1.

STEP 3

We know that the sum of these two integers is183. So, we can write the equation asx+(x+1)=183x + (x +1) =183x+(x+1)=183

STEP 4

implify the equation by combining like terms.2x+1=1832x +1 =1832x+1=183

STEP 5

Subtract1 from both sides of the equation to isolate the term with xxx.2x=183−12x =183 -12x=183−1

STEP 6

Calculate the right side of the equation.2x=1822x =1822x=182

STEP 7

Divide both sides of the equation by2 to solve for xxx.x=182/2x =182 /2x=182/2

STEP 8

Calculate the value of xxx.x=91x =91x=91

STEP 9

Now that we have the value of xxx, we can find the next consecutive integer by adding to xxx.x+=91+x + =91 +x+=91+

STEP 10

Calculate the value of the next consecutive integer.x+=92x + =92x+=92The two consecutive integers are91 and92.

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Let's denote the two consecutive integers as $x$ and $x +1$ .

We know that the sum of these two integers is183. So, we can write the equation as $x + (x +1) =183$

implify the equation by combining like terms.
$2x +1 =183$

Subtract1 from both sides of the equation to isolate the term with $x$ .
$2x =183 -1$

Calculate the right side of the equation.
$2x =182$

Divide both sides of the equation by2 to solve for $x$ .
$x =182 /2$

Calculate the value of $x$ .
$x =91$

Now that we have the value of $x$ , we can find the next consecutive integer by adding to $x$ .
$x + =91 +$

Calculate the value of the next consecutive integer.
$x + =92$ The two consecutive integers are91 and92.