lordofgagaboss lordofgagaboss
  • 06-12-2020
  • Mathematics
contestada

Find three consecutive odd integers such that the difference of thrice the smallest and twice the largest is -19

Respuesta :

FadedElla
FadedElla FadedElla
  • 06-12-2020

Answer:

  • The odd integers are -11, -9, -7

Step-by-step Explanation:

Let the three consecutive odd integers be x, x + 2 and x + 4 because odd integers are in the gap of 2.

GiveN:

  • The difference of thrice the smallest and twice the largest is -19[tex].[/tex]

This can be written as:

➛ 3(x) - 2(x + 4) = -19

➛ 3x - 2x - 8 = -19

➛ x - 8 = -19

➛ x = -11

Then:

The consecutive odd integers are:

  • x = -11
  • x + 2 = -9
  • x + 4 = -7
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