If the average of 5 positive integers is 60 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 the correct option
A) 50 B) 52 C) 49 D) 68 E) 74
Sum of 5 Integer (a, b, c, d, e) = 5*60= 
<gadget id="calculator">5*60</gadget>
<output>300</output>
300   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) = 300   i.e. 5a = 290   i.e. a = 58   i.e. Largest e = 58+10= 
<gadget id="calculator">58+10</gadget>
<output>68</output>
68   Answer: option 68
<result>D</result>
If the average of 5 positive integers is 60 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?