SOLUTION: Mrs. H discovered that she had accidentally reversed the digits of a test and shorted a student 36 points. She told the student that the sum of the digits was 14 and agreed to giv

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Question 412161: Mrs. H discovered that she had accidentally reversed the digits of a test and shorted a student 36 points. She told the student that the sum of the digits was 14 and agreed to give him his correct score plus extra credit if he could determine his actual score without looking at his test. What was his actual score on the test?
Answer by solver91311(24713) About Me  (Show Source):
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Let represent the 10s digit of the incorrect score. Let represent the 1s digit of the incorrect score.

The sum of the digits is 14, so:



The correct score exceeds the incorrect score by 36 points:







Add to the first equation:





hence


Incorrect score: 59

Correct score: 95

Check: 5 + 9 = 14 and 95 - 59 = 36.

John

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