If the average of 5 positive integers is 70 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? Pick one:
A) 50	B) 52	C) 69	D) 78	E) 84
Sum of 5 Integer (a, b, c, d, e) = 5*70= 
<gadget id="calculator">5*70</gadget>
<output>350</output>
350   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) = 350   i.e. 5a = 340   i.e. a = 68   i.e. Largest e = 68+10= 
<gadget id="calculator">68+10</gadget>
<output>78</output>
78   Answer: option 78
<result>D</result>
If the average of 5 positive integers is 70 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?