SOLUTION: Find 3 consecutive integers in which the sum of 1st and 3rd is 84 more than one half of the 2nd

Question 852906:

Find 3 consecutive integers in which the sum of 1st and 3rd is 84 more than one half of the 2nd

Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
YOU HAVE:
X the first integer
X+1 the second integer
x+2 the third integer
x+(x+2)=84+(x+1)/2
2x+2=84+(x+1)/2
2x-(x+1)/2=84-2 combine the 2 x terms.
(4x-x-1)/2=82
(3x-1)/2=82 cross multiply
3x-1=2*82
3x-1=164
3x=164+1
3x=165
x=165/3
x=55 the first integer.
55+1=56 the second integer.
55+2=57 the third integer.
Proof:
55+57=84+56/2
112=84+28
112=112
RELATED QUESTIONS
Find 3 consecutive integers in which the sum of the 2nd and 3rd integers is 85 more than... (answered by ewatrrr)

Find 3 consecutive odd integers such that the sum of the 1st, 2nd and 3 times the 3rd (answered by checkley79)

Find 3 consecutive integers such that 5 times the 2nd equals twice the sum of the 1st and (answered by timvanswearingen)

Find the three consecutive odd integers such that the sum of the 1st and the 3rd is twice (answered by CubeyThePenguin)

The sum of 3 integers is 251. The sum of the 1st and 2nd integers exceeds the 3rd by 45. (answered by richard1234)

find the sum of 3 consecutive odd integers such that 4 times the sum of the 1st and... (answered by solver91311)

find 3 consecutive even integers such that the sum of 1st and 3rd is... (answered by jim_thompson5910)

Find 4 consecutive even integers such that 2 times the sum of the 1st and 2nd is 14 more... (answered by stanbon)

Find 3 consecutive odd integers where the sum of the 2nd and 3rd integer is... (answered by stanbon,MathTherapy,ikleyn)