A natural number is divided by 3, 4 and 5, the remainder is 2, 3 and 4 respectively, and the sum of the three quotients is 138. What is the natural number?

A natural number is divided by 3, 4 and 5, the remainder is 2, 3 and 4 respectively, and the sum of the three quotients is 138. What is the natural number?

Add 1 to this natural number to get a, then a is divided by 3, 4 and 5, the remainder is 0, and the sum of three quotients is 138 + 3 = 141
The sum of the three quotients is 141, that is, a / 3 + A / 4 + A / 5 = 141, and the solution is a = 180
So this number is 180-1 = 179
Check it yourself

Eight natural numbers are arranged in a row. Starting from the third number, each number is equal to the sum of the two numbers in front of it. It is known that the first number is 3 and the eighth number is 180,
So what's the second number,

Because every number is equal to the sum of the two numbers in front of it, we can set the second number to be X
And so on, the third number is x + 3
The fourth number is 2x + 3
The fifth number is 3x + 6
The sixth number is 5x + 9
The seventh number is 8x + 15
The eighth number is 13X + 24
13X+24=180
X=12

Eight natural numbers are arranged in a row. Starting from the third number, each number is equal to the sum of the two numbers in front of it______ .3，□，□，□，□，□，□180．

Let the second number be X. from the meaning of the question, we can get: 24 + 13X = 180, 13X = 180-24, 13X = 156, x = 12