Jerry got a phone call from a telephone solicitor who was taking a survey. First the solicitor asked how old Jerry was. Jerry gave the following clues: “My age is between 30 and 69, inclusive.” The solicitor asked if he was in his 30’s. “If I am not in my 30’s, then my age is a multiple of 4.” The solicitor asked if he was in his 40’s. “If I am not in my 40’s, then my age is a multiple of 7.” The solicitor asked if he was in his 50’s. “If I am not in my 50’s, then my age is not a multiple of 5.” The solicitor asked if he was in his 60’s. “If I am not in my 60’s, then my age is not a multiple of 8.” How old is Jerry?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Jerry got a phone call from a telephone solicitor who was taking a survey. First the solicitor asked how old Jerry was. Jerry gave the following clues:
“My age is between 30 and 69, inclusive.”
The solicitor asked if he was in his 30’s.

“If I am not in my 30’s, then my age is a multiple of 4.” The solicitor asked if he was in his 40’s.
“If I am not in my 40’s, then my age is a multiple of 7.” The solicitor asked if he was in his 50’s.

“If I am not in my 50’s, then my age is not a multiple of 5.” The solicitor asked if he was in his 60’s.
“If I am not in my 60’s, then my age is not a multiple of 8.” How old is Jerry?

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