age divided by an odd number greater than 1 and less than 9 you get remainder 1. age divided by any even number greater than 1 and less than 9 you will not 1

Question

I met a men who said if you can guess my age, i will pay you one dollar for each year that i have lived. I will also give you two hints. If you take my age and divide it by any odd number greater than 1 and less than 9 you will get a remainder of 1. But if you take my age and divide it by any even number greater than 1 and less than 9 you will not get a remainder of 1. how much money could you earn?

Answer 1

The odd numbers greater than 1 and less than 9 are 3, 5, and 7.

 

Multiply 3 x 5 x 7 to get 105.  Add 1 to that to get 106.  Divide 106 by 3, 5, and 7 and you will get a remainder of 1 each time.

 

Now, divide 106 by ANY even number and you can't get a remainder of 1.  The only way to get a remainder of 1 when dividing by an even number is if you start with an odd number, which 106 is not.

 

So the answer is $106.