When entering your test score into a computer, your professor accidently reversed the

Chapter 3, Problem 69

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When entering your test score into a computer, your professor accidently reversed the two digits. This error reduced your score by 36 points. Your professor told you that the sum of the digits of your actual score was 14, corrected the error, and agreed to give you extra credit if you could determine the actual score without looking back at the test. What was your actual test score? (Hint: Let t = the tens-place digit of your actual score and let u = the units-place digit of your actual score. Thus, 10t + u represents your actual test score.)

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