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likoan [24]
3 years ago
12

Three consecutive even integers have a sum of -48. Find the largest integer.

Mathematics
1 answer:
kobusy [5.1K]3 years ago
6 0

Answer:

<h3>           - 14</h3>

Step-by-step explanation:

{x -  some integer}

2x  -  the first even integer

2x+2  -  the second consecutive even integer

2x+4  -  the third consecutive even integer (the largest)

2x + 2x+2 + 2x+4  - the sum of three consecutive even integers

2x + 2x+2 + 2x+4 = -48

   6x + 6  = -48

        ÷3         ÷3

    2x + 2 = -16

         +2      +2

     2x+4 = -14

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This means that:

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My ten thousands digit is 1 less than 3 times the sum of my ones digit and tens digit:

n₁ = 3*2n₄ - 1

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This means that:

n = 10,000*(6n₄-1) + 1,000n₂ + 100n₃ + 11n₄

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<span>My thousands digit is half my hundreds digit, and the sum of those two digits is 9:

n</span>₂ = 1/2 * n₃
<span>
n</span>₂ + n₃ = 9
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Therefore:

n</span>₂ = 9 - n₃
<span>
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