SOLUTION: Separate the number 38 into three parts so that the second number is 2 less than the first number which is one half the third number

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Question 1023322: Separate the number 38 into three parts so that the second number is 2 less than the first number which is one half the third number
Answer by ikleyn(52794) About Me  (Show Source):
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Separate the number 38 into three parts so that the second number is 2 less than the first number which is one half the third number
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Let x = first number.
Then the second number is (x-2) and the third number is 2x.

The condition says that

x + (x-2) + 2x = 38,

4x - 2 = 38,
4x = 38 + 2,
4x = 40,

x = 40%2F4 = 10.

The three numbers are 10, 8, and 20.