SOLUTION: there are three consecutive integers. half the sum of the second and third number is 35. what are the integers

SOLUTION: there are three consecutive integers. half the sum of the second and third number is 35. what are the integers

Algebra.Com

Question 354210: there are three consecutive integers. half the sum of the second and third number is 35. what are the integers
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
Let x, x+1 & x+2 be the three integers.
(x+1+x+2)/2=35
2x+3=70
2x=70-3
2x=67
x=67/2
x= 33.5 ans. for the smallest integer.
33.5+1=34.5 ans. for the second integer.
33.5+2=35.5 ans. for the third integer.
Proof:
(34.5+35.5)/2=35
70/2=35
35=35
RELATED QUESTIONS
There are four consecutive even integers. Half the sum of the second and third is... (answered by stanbon)

there are three consecutive integers half the sum of the first and third is 52 what are... (answered by checkley77)

There are three consecutive odd integers. Two-thirds of the first number is 159 less than (answered by solver91311)

there are three consecutive integers. The sum of twice the second and third is 61. Find... (answered by mananth)

There are three consecutive even integers. The sum of the first and third numbers... (answered by stanbon)

There are three consecutive integers such that the sum of the first and second integers... (answered by checkley71)

There are three consecutive even integers such that the sum of the second and third... (answered by stanbon)

11. there are three consecutive even integers. 8/9 of the first number is 263 less than... (answered by CubeyThePenguin)

there are three consecutive even integers. the square of the first number is six less... (answered by Boreal)