Joseph choose a mystery number. His mystery number is greater than 10 and less than 60. The mystery number has a remainder of 1 when divided by 6 and a remainder of 2 when divided by 5, what could be joseph mystery number.
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To find Joseph's mystery number, we need to find numbers greater than 10 and less than 60 that satisfy two conditions: having a remainder of 1 when divided by 6 and a remainder of 2 when divided by 5.
First, let's find the common multiples of 6 and 5. The common multiples are 30, 60, 90, 120, and so on.
Next, let's subtract 1 from each of these multiples:
- 30 - 1 = 29
- 60 - 1 = 59
- 90 - 1 = 89
- 120 - 1 = 119
Now, let's see which of these numbers are between 10 and 60:
- 29 is less than 10, so it's not a valid mystery number.
- 59 is between 10 and 60 and satisfies both conditions, so it could be Joseph's mystery number.
- 89 is greater than 60, so it's not a valid mystery number.
- 119 is greater than 60, so it's not a valid mystery number.
Therefore, Joseph's mystery number could be 59.