A few days ago
freepaidmoney

College Algebra, Consecutive Integer Help?

Okay I tried to solve this problem, and I think I did it correctly. I just want to double check. If I went wrong somewhere could someone direct me in the right direction?

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!

Top 4 Answers
A few days ago
supensa

Favorite Answer

Nope! Consecutive odd integers would be 3, 5, 7, 9, etc.

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

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4 years ago
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a million. remedy for x. numerator x divided by denominator 4 destructive numerator 4 divided by denominator 5 equals numerator 19 divided by denominator 20 x/4 – 4/5 = 19/20 Multiply via by 20. 5x – sixteen = 19 5x = 35 x = 7 __________ 2. The sum of two consecutive integers is 121. What are the two integers? permit x and (x + a million) be the two consecutive integers. x + (x + a million) = 2x + a million = 121 2x = one hundred twenty x = 60 x + a million = sixty one the two consective integers are 60 and sixty one. ____________ 3. The sum of two consecutive integers is 109. What are the two integers? This concern works a similar way because of the fact the previous one. permit x and (x + a million) be the two consecutive integers. x + (x + a million) = 2x + a million = 109 2x = 108 x = fifty 4 x + a million = 55 the two consective integers are fifty 4 and 55.
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A few days ago
fleacircusdirector
I think by three consecutive integers they mean something like 3,5,7 or 7,9,11

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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A few days ago
kriti
Your answer is right but the method is not. Take the integers to be (2x-1), 2x+1,2x+3. . . . and go about it in the same manner.
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