The sum of three integers is 23. The largest integer is 3 times the middle integer, and the smallest integer is 12 less than the largest integer. What is the product of the three integers? Select
A) 125
B) 150
C) 175
D) 225
E) 275
Let x be the middle integer. Then the largest is 3x and the smallest is 3x - 12.   3x - 12 + x + 3x = 23   x = 5   The three integers are 3, 5, and 15.   The product is 3*5*15= 
<gadget id="calculator">3*5*15</gadget>
<output>225</output>
225   The answer is 225.
<result>D</result>
The sum of three integers is 23. The largest integer is 3 times the middle integer, and the smallest integer is 12 less than the largest integer. What is the product of the three integers?