The sum of three integers is 33. The largest integer is 3 times the middle integer, and the smallest integer is 23 less than the largest integer. What is the product of the three integers?
Choose the correct choice from the following choices:
A) 192 B) 203 C) 214 D) 225 E) 236
Let x be the middle integer. Then the largest is 3x and the smallest is 3x - 23.   3x - 23 + x + 3x = 33   x = 8   The three integers are 1, 8, and 24.   The product is 1*8*24= 
<gadget id="calculator">1*8*24</gadget>
<output>192</output>
192   The answer is 192.
<result>A</result>
The sum of three integers is 33. The largest integer is 3 times the middle integer, and the smallest integer is 23 less than the largest integer. What is the product of the three integers?