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  • 17-12-2019
  • Mathematics
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The sum of 3 consecutive even numbers is 408. What is the largest of the numbers

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bayosanuade
bayosanuade bayosanuade
  • 19-12-2019

Answer: 138

Step-by-step explanation:

Let the first number be x , the second number be x + 2 and the third number be x + 4 since they are consecutive even numbers.

Their sum implies:

x + x + 2 + x + 4 = 408

3x + 6 = 408

subtract 6 from both sides

3x + 6 - 6 = 408 - 6

3x = 402

divide through by 3

3x/3 = 402/3

Therefore x = 134.

The numbers are :

134 , 136 and 138 , this means that the largest number is 138

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