Separate the number 219 into three parts. The second number is two less than 5 times the first number, and the third number is 4 more than the first number.

Let us assume the first number = x

Then the second number = 5x - 2

The third number = x + 4

The total number that needs to be divided into three parts is 219

Then we can write the equation as

x + 5x - 2 + x + 4 = 219

7x + 2 = 219

7x = 219 - 2

7x = 217

x = 217/7

= 31

Then

First number = 31

Second number = 5x - 2

= (5 * 31) - 2

= 155 - 2

= 153

Third number = x + 4

= 31 + 4

= 35

So the three numbers are 31, 153 and 35.