The sum of three integers is 24. The largest integer is 3 times the middle integer, and the smallest integer is 11 less than the largest integer. What is the product of the three integers? Choose the most appropriate option.
A) 200  B) 225  C) 250  D) 275  E) 300
Let x be the middle integer. Then the largest is 3x and the smallest is 3x - 11.   3x - 11 + x + 3x = 24   x = 5   The three integers are 4, 5, and 15.   The product is 4*5*15= 
<gadget id="calculator">4*5*15</gadget>
<output>300</output>
300   The answer is 300.
<result>E</result>
The sum of three integers is 24. The largest integer is 3 times the middle integer, and the smallest integer is 11 less than the largest integer. What is the product of the three integers?