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Answer :
Final answer:
The three consecutive even numbers that sum to 330 are 108, 110, and 112. 3/4th of the greatest number (112) is 84.
Explanation:
Let's start with defining the three consecutive even numbers as x, x + 2, and x + 4. When these are summed, the equation is x + (x + 2) + (x + 4) = 330, which simplifies to 3x + 6 = 330. Solving for x, 3x = 330 - 6 => 3x = 324 => x = 324 / 3 = 108. So, the three numbers are 108, 110, and 112.
Now, to find 3/4th of the greater number (which is 112), we multiply 112 * (3/4) = 84. Therefore, 3/4th of the greater number is 84.
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