SOLUTION: Find four consecutive odd integers such that the sum of the two largest integers subtracted from twice the sum of the two smallest integers is 96.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Find four consecutive odd integers such that the sum of the two largest integers subtracted from twice the sum of the two smallest integers is 96.      Log On


   

Question 932067: Find four consecutive odd integers such that the sum of the two largest integers subtracted from twice the sum of the two smallest integers is 96.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
four consecutive odd integers: x, x+2, x+4, x+6
...
2(x + x+2) - [(x+4) + (x+6)] = 96
4x + 4 - 2x - 10 = 96
2x= 102
x = 51
......
the four consecutive odd integers are: 51, 53, 55, 57
And...checking
2(104) - 112 = 96