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Question

Question 84

Solve the following:

The sum of three consecutive even natural numbers is 48. Find the greatest of these numbers.

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Solution

Let the three consecutive even natural numbers be x, (x+2) and (x+4).
According to the equation,
x+(x+2)+(x+4)=48
3x+6=483x=4863x=42x=423x=14
Hence, the three consecutive even natural numbers are 14, (14+2) and (14+4), i.e. 14, 16 and 18.
Therefore, the greatest number is 18.


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