SOLUTION: Find three consecutive integers such that the sum of the second and third exceeds half of the first by 33.
This is what I tried.... (x+1)+(x+2)=1/2x+33 which gave me x=30
Algebra.Com
Question 202675: Find three consecutive integers such that the sum of the second and third exceeds half of the first by 33.
This is what I tried.... (x+1)+(x+2)=1/2x+33 which gave me x=30
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.
Combine like terms.
Multiply EVERY term by the LCD to clear out the fraction.
Multiply and simplify.
Subtract from both sides.
Subtract from both sides.
Combine like terms on the left side.
Combine like terms on the right side.
Divide both sides by to isolate .
Reduce.
----------------------------------------------------------------------
Answer:
So the solution is
This means that the first number is 20, the second is 21 (20+1=21), and the third is 22 (20+2=22)
RELATED QUESTIONS
Find three consecutive integers such that the sum of the second and third exceeds 1/2 of... (answered by CubeyThePenguin)
find three consecutive odd integers such that twice the sum of the first and third... (answered by scott8148,ewatrrr)
Find three consecutive even integers such that the sum of the first and third exceeds... (answered by stanbon)
Find three consecutive even integers such that the sum of the first and third exceeds... (answered by checkley71)
Find three consecutive intergers such that the sum of the second and third excedds half... (answered by swincher4391)
find three consecutive integers such that the sum of the squares of the second and the... (answered by SAT Math Tutor,Earlsdon,eperette,josmiceli)
Find three consecutive integers such that the sum of the squares of the second and third... (answered by edjones)
find three consecutive numbers such that the sum of the second and the third numbers... (answered by mananth)
Find three consecutive numbers such that the sum of the second and third exceeds the... (answered by Alan3354)