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?	Answers.
A) 1  B) 19  C) 29  D) 30  E) 37

Rationale: "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 = 37 answer : e"
Answer: E