I met a man who said, "if you can guess my age, 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.

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?

The man's age is 106 years

Amount earned is $ 106.00

Step-by-step explanation:

Here we have

3 × a = Age +1

5 × b = Age +1

7 × c = Age +1

Age is even, therefore, a, b and c are odd numbers

Since 3, 5 and 7 are factors of Age + 1

Then, 3 × 5 × 7 is a factor. That is 3 × 5 × 7 = 105

Therefore, 105 + 1 or 106 is a possible solution as an even number divided by another even number will not have a remainder of 1.

The age of the man is 106 years

Therefore, the amount earned = $ 1.00/year × 160 years = $ 106.00