The average (arithmetic mean) of 4 different integers is 76. If the largest integer is 90, what is the least possible value of the smallest integer? Choose the correct option:
A) 1 B) 19 C) 29 D) 30 E) 37
Total of Integers=76*4=3004   Lowest of the least possible integer is when the middle 2 intergers are at the maximum or equal to the highest possible integer.   But all integers are distinct. So if the largest integer is 90, then the middle 2 will be 88 and 89   Lowest of least possible integer = 304-(90+89+88)=304-267= 
<gadget id="calculator">304-267</gadget>
<output>37</output>
37   Answer: 37
<result>E</result>
The average (arithmetic mean) of 4 different integers is 76. If the largest integer is 90, what is the least possible value of the smallest integer?