SOLUTION: Subject: Consecutive odd integers Choose three consecutive odd integers such that three times the second decreased by 4 is equal to twice the third increased by 15. I attempt

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Question 1168472: Subject: Consecutive odd integers
Choose three consecutive odd integers such that three times the second decreased by 4 is equal to twice the third increased by 15.
I attempted to solve this problem as follows.
3(x+2)-4=2(x+4)+15
After solving the equation the integers were: 21, 23, 25; however, my book gives me a different answer. I will appreciate your help. Thank you.

Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Consecutive odd integers, x, x+2, x+4

The translated description,




-------your first of these integers.

They are 21, 23, 25.

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

The condition of the problem is AMBIGOUS.


It can be read, translated and interpreted in two different ways.


One way is 

    3(x+2) - 4 = 2(x+2) + 15.


The other way is

    3(x+2) - 4 = 2*((x+2) + 15).


Different equations/translations/interpretations produce different answers.

Therefore, such long formulations in English practically make no sense, because they often are ambiguous.


Not only they are ambiguous --- they often are DANGEROUS.



Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Subject: Consecutive odd integers
Choose three consecutive odd integers such that three times the second decreased by 4 is equal to twice the third increased by 15.
I attempted to solve this problem as follows.
3(x+2)-4=2(x+4)+15
After solving the equation the integers were: 21, 23, 25; however, my book gives me a different answer. I will appreciate your help. Thank you.
Your 3 integers are CORRECT!
You need to check the book again, to make sure you're looking at the answers for this particular problem!
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