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Printsmc
prealgebra intermediate
Problem
If , , and are positive numbers and , then the number obtained by increasing by and decreasing the result by exceeds if and only if
(A)
(B)
(C)
(D)
(E)
Solution
Answer Choice : It is obviously incorrect because if is and we increase by % and then decrease %, will be around . Answer Choice : If is and is , it should be equal but instead we get is more than . This is therefore also incorrect. Answer Choice : Obviously incorrect since if is larger than , this is always valid since is less than which is obviously false. Answer Choice : If is and is , it should be equal but instead we get is less than . Therefore, is also incorrect. Answer Choice : If is and is , it should be equal, and if we check our equation, we get = . Therefore, our answer is
Final answer
E