Show steps: 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.
To find the biggest possible value of the two-digit number that satisfies the given conditions, we need to find the least common multiple (LCM) of 5 and 3, and then subtract 2 from it since the remainder is 2 in both cases.
1. Find the LCM of 5 and 3:
The LCM of 5 and 3 is 15.
2. Subtract 2 from the LCM:
15 - 2 = 13
Therefore, the biggest possible value of a two-digit number that has a remainder of 2 when divided by 5 and 3 is 13.