SOLUTION: John wants his friends to figure out what number he is thinking of. He gives them three clues: It is a whole number. The number divided by 2 is greater than 9 and less than 13.

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Question 953007: John wants his friends to figure out what number he is thinking of. He gives them three clues:
It is a whole number.
The number divided by 2 is greater than 9 and less than 13.
The sum of its prime factors is 9.
A. What are the possible numbers that John could be describing?











B. John tells them that the number he is thinking of is divisible by 5. What is the number?
Answer by fcabanski(1391)   (Show Source): You can put this solution on YOUR website!
The number divided by 2 is greater than 9 and less than 13. That means the number is greater than 18 and less than 26.


It's a whole number, so it is 19, 20, 21, or 22.


Prime factors:
19: 19 and 1, the sum is 20.


20: 2, 5 and 2, the sum is 9.


21: 2 and 7, the sum is 10.


22: 2 and 11, the sum is 13.


The only possible number is 20. It is divisible by 5.

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