the sum of three consecutive odd integers is 237 find integers?
- 6 years agoFavorite Answer
well you looking for x-2 + x + x+2 = 237
So for anything like this Divide by 3 first and you'll have x as 79. You can figure out the rest.
but imagine say the sum of 4 consective numbers equals 1000.
divide by 5 now = 200 is x
to get x-2, x-1, you just found x, x+1 and x+2
but imagine for a moment x-2 + x+2 is also 400
the same way x-1 + x+1 is also 400
do you see the pattern?
There's a simple enough equation created by not sure if t was John Napier, his teacher asked him to add up all the numbers from 1 to 100, he thought in his mind 1+50 = 2+49 = 3+48.... so 51 x 50 + 5050. All the integers from 1 to 100 added comes out to 5050.
Try another puzzle in your head this time, what are all the numbers from 1 to 20?
Hope that helps, or at least is a little fun
- VahucelLv 76 years ago
Considering x the first number then the others are x+2 and x+ 4
If the sum is 237, then x+ x+2 + x+4 = 237 ==> 3x = 231 ==> x = 77
Then the numbers are: 77, 79, 81 ... it is odd and consecutive... to confirm just find the sum
it is 77+79+81 = 237... OK!
- MICHAEL KLv 76 years ago
77 and 79 and 81.