Final answer:
The number less than 40 that is divisible by 5 and leaves a remainder of 2 when divided by 6 is 35.
Step-by-step explanation:
The question asks for a number that meets all the following conditions: it is less than 40, divisible by 5, and leaves a remainder of 2 when divided by 6. To find such a number, we can list multiples of 5 that are less than 40 and check each one to see if it meets the remainder condition when divided by 6.
Multiples of 5 that are less than 40 are: 5, 10, 15, 20, 25, 30, and 35. When we divide each one by 6, we want to find one that leaves a remainder of 2. We find that:
- 25 ÷ 6 = 4 remainder 1 (not the one we need)
- 30 ÷ 6 = 5 remainder 0 (not the one we need)
- 35 ÷ 6 = 5 remainder 5
Therefore, the number we're looking for is 35.