SOLUTION: There are two numbers. One number is twice the other number. The difference of the smaller number and half the larger number is 20. An equation created to find the smaller numbe

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Question 1038824: There are two numbers. One number is twice the other number. The difference of the smaller number and half the larger number is 20.
An equation created to find the smaller number will have, One solution, no solution, or infinely many sulotions?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let the smaller number be . Then the larger number is . Half the larger minus the smaller is:



Which is to say



So the equation would be



Since there are no values of such that , then the solution set of the equation is the empty set.

John

My calculator said it, I believe it, that settles it