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.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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.)
Transcribed Image Text: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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