SOLUTION: On my worksheet there is a problem that tells us to 'Find four consecutive odd integers whose sum is 8. My teacher has taught us basically this way: x= 1st number

Question 56577: On my worksheet there is a problem that tells us to 'Find four consecutive odd integers whose sum is 8.
My teacher has taught us basically this way:
x= 1st number
x+3= 2nd number
x+5= 3rd number
x+7= 4th number

(My work)

x+x+3+x+5+x+7=8
4x+15= 08
-15 -15
4x/4 = -7/4
x= -1.75
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
On my worksheet there is a problem that tells us to 'Find four consecutive odd integers whose sum is 8.
My teacher has taught us basically this way:
x= 1st number
This is right, but if you add 3 to an odd number you will get an even number
You should have:
x+2 = 2nd number
x+4 = 3rd number
x+6 = 4th number
:
The sum is then; x + (x+2) + (x+4) + (x+6)
:
4x + 12 = 8
4x = 8 - 12
4x = -4
x = -1
:
2nd number: -1 + 2 = +1
3rd number: -1 + 4 = +3
4th number: -1 + 6 = +5
:
our 4 numbers -1 + 1 + 3 + 5 = + 8

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