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The three consecutive even integers are 48, 50 and 52.

Step-by-step explanation:

  • Step 1: Let the three consecutive even integers be x, x + 2 and x + 4
  • Step 2: Form equation out of the data given and solve. Sum of numbers is 150

⇒ x + x + 2 + x + 4 = 150

⇒ 3x + 6 = 150

⇒ 3x = 144

⇒ x = 48

  • Step 3: Find the other numbers

⇒ x + 2 = 50

⇒ x + 4 = 52

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