Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A set of 33 consecutive integers adds up to 4848. Which integers are they?\newline_\_, _\_, _\_

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Consecutive integer problemsright chevron icon

Full solution

Q. A set of 33 consecutive integers adds up to 4848. Which integers are they?\newline_\_, _\_, _\_
  1. Define First Integer: Let xx be the first integer.\newlineConsecutive integers increase by 11 each time.\newlineConsecutive integers: xx, x+1x+1, x+2x+2
  2. Set Up Equation: Set up the equation that represents the sum of 33 consecutive integers equal to 4848.\newlineEquation: x+(x+1)+(x+2)=48x + (x+1) + (x+2) = 48
  3. Simplify Equation: Simplify the left side of the equation x+(x+1)+(x+2)=48x + (x+1) + (x+2) = 48.\newlinex+(x+1)+(x+2)=48x + (x+1) + (x+2) = 48\newline(x+x+x)+(1+2)=48(x + x + x) + (1+2) = 48\newline3x+3=483x + 3 = 48
  4. Isolate Variable Term: Isolate the variable term in 3x+3=483x + 3 = 48.
    3x+3=483x + 3 = 48
    3x+3−3=48−33x + 3 - 3 = 48 - 3
    3x=453x = 45
  5. Solve for x: Solve for x.\newline3x=453x = 45\newline3x3=453\frac{3x}{3} = \frac{45}{3}\newlinex=15x = 15
  6. Determine Consecutive Integers: Determine the 33 consecutive integers that add up to 4848.\newlineThree consecutive integers:\newlinexx, x+1x+1, x+2x+2\newline1515, 15+115+1, 15+215+2\newline1515, 1616, 484800

More problems from Consecutive integer problems

Question
Solve for x. \newline(34)x=12(\frac{3}{4})x= 12 \newlinex=x = ______
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve for x. \newline−59x=15-\frac{5}{9}x= 15 \newlinex=x = ______
Get tutor helpright-arrow

Posted 1 month ago

Question
How many solutions does the following equation have?\newline5x+8−7x=−4x+15x+8-7x=-4x+1\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

Question
How many solutions does the following equation have?\newline−2z+10+7z=16z+7-2z+10+7z=16z+7\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

Question
How many solutions does the following equation have?\newline7(y−8)=7y+427(y-8)=7y+42\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

Question
How many solutions does the following equation have?\newline−9(x+6)=−9x+108-9(x+6)=-9x+108\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

Question
How many solutions does the following equation have?\newline−6(x+7)=−4x−2-6(x+7)=-4x-2\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

Question
How many solutions does the following equation have?\newline−4x−7+10x=−7+6x-4x-7+10x=-7+6x\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

Question
How many solutions does the following equation have?\newline−17(y−2)=−17y+64-17(y-2)=-17y+64\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

Question
How many solutions does the following equation have?\newline9z−6+7z=16z−69z-6+7z=16z-6\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

View all (44)