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Find 3 consecutive odd integers such that the sum of 2 times the first and the last term is equal to 5 times the middle integer.

Respuesta :

abidemiokin

The 3 consecutive odd integers are -3, -5 and -7

Linear function

Let the 3 consecutive odd integers be 2x-1,  2x+1 and 2x+3

If the sum of 2 times the first and the last term is equal to 5 times the middle integer, then;

2(2x-1)+2x+3 = 5(2x+1)

Expand

4x-2 + 2x +3 = 10x+5

6x +1 = 10x + 5

6x - 10x = 5 - 1

-4x = 4

x = -1

Determine the numbers

First number = 2(-1) - 1 = -3

Second number = -5

Third number = -7

Hence the 3 consecutive odd integers are -3, -5 and -7

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