College Algebra, Consecutive Integer Help?
The Question:
Find three consecutive odd integers such that twice the sum of the first and third integers is 21 more than the second integer. Define a variable, set up an equation and solve it, and give the final answer clearly.
My Solution:
1st integer: 3
2nd interger: x
3rd integer: 9
2(3+9)=x+21
6+18=x+21
24=x+21
x=3
Check:
2(3+9)=3+21
24=24
Thanks!
Favorite Answer
Start at the beginning.
x is the first, x + 2 is the second, and x + 4 is the third.
2(x + (x + 4)) = 21 + (x + 2)
2(2x + 4) = 23 + x
4x + 8 = 23 + x
4x = 15 + x
3x = 15
x = 5
x + 2 = 7
x + 4 = 9
Check:
2(5 + 9) = 21 + 7
2(14) = 28
28 = 28
So.
1st Integer = x
2nd Integer = x+2
3rd Integer = x+4
2(x+(x+4)) = 21+(x+2)
You should be able to complete it from there.
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