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.

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06-12-2015
Mathematics

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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.

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taskmasters taskmasters · Answer 1 · 2015-12-06T19:50:45+01:00

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.