The sum of 3 consecutive even number is 40 more than the average of these numbers. Which of the following is the 2 largest number ?a)18b)20c)22d)24Correct answer is option 'B'. Can you explain this answer?

Question

Answer

24

Answer

Solution:
Let's assume the first even number to be x.
Then, the next two consecutive even numbers will be x+2 and x+4.

According to the given condition,
x + (x+2) + (x+4) = (x + x+2 + x+4)/3 + 40

Simplifying this equation, we get:
3x + 6 = (3x + 6)/3 + 40

Multiplying both sides by 3, we get:
9x + 18 = 3x + 6 + 120

Simplifying this equation further, we get:
6x = 96

Therefore, x = 16

So, the 3 consecutive even numbers are 16, 18, and 20.

Therefore, the largest two numbers are 20 and 18.

Hence, the correct answer is option B (20).

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