SOLUTION: find the smallest of four consecutive integers such that if twice the sum of the two smallest is added to three times the sum of the two largest, the result is 77. write an equatio

Question 806890: find the smallest of four consecutive integers such that if twice the sum of the two smallest is added to three times the sum of the two largest, the result is 77. write an equation and solve
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find the smallest of four consecutive integers such that if twice the sum of the two smallest is added to three times the sum of the two largest, the result is 77. write an equation and solve
-------
1st: x-2
2nd: x-1
3rd: x
4th: x+1
------------
Equation:
2(2x-3) + 3(2x+1) = 77
----------
4x-6 + 6x+3 = 77
10x = 80
x = 8
-----
Smallest = x-2 = 6
=====================
Cheers,
Stan H.
=====================

RELATED QUESTIONS
Find four consecutive integers such that eight times the sum of two and the smallest is... (answered by robertb)

Find three consecutive even integers such that if the largest integer is subtracted from (answered by ankor@dixie-net.com)

Find four consecutive integers such that the sum of the two greatest is four times the... (answered by drk)

Find four consecutive odd integers such that the sum of the two greatest is four times... (answered by CubeyThePenguin)

find three consecutive even integers such that the sum of twice the smallest and three... (answered by rameilcog24)

find three consecutive odd integers such that the sum of the smallest and four times the... (answered by JBarnum)

Find three consecutive odd integers such that the sum of 7 times the smallest and twice... (answered by ramkikk66)

Find three consecutive integers such that the sum of twice the smallest and 3 times the... (answered by Lenzky)

Find three consecutive odd integers such that the sum of seven times the smallest and... (answered by Fombitz)