If the average of 5 positive integers is 50 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these 5 integers?
Choose one.
A) 50
B) 58
C) 49
D) 48
E) 44
Sum of 5 Integer (a, b, c, d, e) = 5*50= 
<gadget id="calculator">5*50</gadget>
<output>250</output>
250   e - a= 10   i.e. e = a+10   For e to be maximum remaining 4 MUST be as small as possible   Since smallest of 5 numbers is a so to minimize other numbers we can take them equal to the smallest of 5 numbers   i.e. a+a+a+a+(a+10) = 250   i.e. 5a = 240   i.e. a =48   i.e. Largest e = 48+10= 
<gadget id="calculator">48+10</gadget>
<output>58</output>
58   Answer: option 58
<result>B</result>
If the average of 5 positive integers is 50 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these 5 integers?