the sum of 3 consecuative odd integers is 279. what are the integers?

2008-04-12 8:03 am

回答 (9)

2008-04-12 8:25 am
✔ 最佳答案
2x + 1 + 2x + 3 + 2x + 5 = 279
6x = 270
x = 45

91 , 93 , 95 are required odd integers.
2008-04-12 8:09 am
Let x smallest integer
x + 2 next larger
x + 4 largest
x + x + 2 + x + 4 = 279
3x + 6 = 279
3x = 273
x = 91
91 93 and 95
2008-04-12 8:08 am
x + (x + 2) + (x + 4) = 279
3x + 6 = 279
3x = 273
x = 91

91,93,95
2008-04-12 8:16 am
91 + 93 + 95
= 279
2008-04-12 8:15 am
x+x+2+x+4=279
3x=273
x=91
x+2=93
x+4=95
2008-04-12 8:12 am
91, 93, 95, i did my work on a sheet of paper cant do math on a computer
2008-04-12 8:11 am
x+(x+2)+(x+4)=279
3x+6=279
3x=273
x=91

x+2=93

x+4=95
2008-04-12 10:36 am
I break down the statement and think logically:
3 integers, consecutive, added together make a value
3 is odd, so the center number can be found by dividing the total by 3
calculate 279/3=93
1 odd integer above = 95
1 odd integer below =91
check work, 91+93+95=279
work checks as correct.

I'm not saying this method or the others is more or less appropriate, but since my approach seems different I thought I would share.
2008-04-12 9:43 am
Because they're odd the equation will be:

x + x+2 + x+4 = 279

3x + 6 = 279
3x = 273
x = 91

So the integers are 91 + 93 + 95 = 279


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