Show steps.Make sure a first grader can understand. A number has a remainder of 2 when divided by 5 and also has a remainder of two when divided by 3. Please find the biggest possible value of this two digit number.
1. Start by listing out the numbers starting from 10, which is the smallest two-digit number.
2. Find the numbers that leave a remainder of 2 when divided by both 5 and 3.
3. For a number to leave a remainder of 2 when divided by 5, it should be two more than a multiple of 5. So, we can list out numbers such as 12, 17, 22, 27, etc.
4. Now, check which of these numbers also leave a remainder of 2 when divided by 3. Only the numbers 12 and 27 satisfy both conditions.
5. Finally, determine which of these numbers is the largest, which is 27.
6. Therefore, the biggest possible value of this two-digit number is 27.