Question 1197175
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Your number: n<br>
1 added to your number: n+1<br>
That number multiplied by 5: 5(n+1)<br>
The resulting number is a multiple of 5 between 40 and 65:<br>
40 < 5(n+1) < 65
8 < n+1 < 13
7 < n < 12<br>
Since the number you ended up with was a multiple of 5, the original number n had to be an integer.  So the numbers you are thinking of are the integers between 7 and 12.<br>
ANSWER: Your numbers are 8, 9, 10, and 11.<br>
NOTE: "between 40 and 65" in the statement of the problem is ambiguous; we don't know whether or not 40 and 65 are included.  My interpretation is that they are not....<br>