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Explain Why the Following Problem Does Not Give Enough Information

Question 83

Multiple Choice

Explain why the following problem does not give enough information to answer the question. The sum of three integers is 48. If the second integer is doubled, the sum is 63. Find the integers.


A) To solve a system of three unknowns, you need two equations. One can only derive one equation from the given information.
B) Doubling the second integer would always result in a sum greater than 63.
C) The parameters given cannot be met -- the equations derived from the first sentence and from the second sentence form an inconsistent system.
D) The parameters given cannot be met by integers -- only rational numbers could be the correct solution to the system of equations derived from this problem.
E) To solve a system of three unknowns, you need three equations. One can only derive two equations from the given information.

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