The sum of a natural number less than 80 and 3 is a multiple of 5, and the difference from 3 is a multiple of 6. The maximum value of this natural number is

The sum of a natural number less than 80 and 3 is a multiple of 5, and the difference from 3 is a multiple of 6. The maximum value of this natural number is


The sum of a natural number less than 80 and 3 is a multiple of 5, and the difference from 3 is a multiple of 6. The maximum natural number is 57



A natural number less than 80 and the sum of 3 and 5 is a multiple of 5, and the difference between 3 and 5 is a multiple of 6. What is the maximum natural number?


It should be 57
57+3=60
57-3=54
They're all multiples of 6, so they match



In natural numbers from 1 to 100, there are______ The number is not a multiple of 3 or 5


The multiples of 3 are: 100 / 3 ≈ 33 (pieces), and the multiples of 5 are: 100 / 5 = 20 (pieces). The number of multiples of 3 and 5 (that is, the common multiple of 3 and 5) is: 100 / 15 = 6 (pieces). Therefore, the number of multiples of 3 or 5 is: 33 + 20-6 = 47 (pieces), and the number of multiples that are neither multiples of 3 nor multiples of 5 is: 100-47 = 53 (pieces). Therefore, the answer is: 53