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The average (arithmetic mean) of the positive even integers a, b, and c is 20. If a < b < c, what is the greatest possible value of c ?

Explanation	Calculations	Help
$We translate "the average (arithmetic mean) of the positive even integers a, b, and c is 20" into an equation.$	$\frac{a + b + c}{3} = 20$	Theory & Tactics Method Card FDPR0-A Click to view full details
$We multiply both sides by 3 to find the total of the three integers.$	$a + b + c = 60$
$To maximize c given that a < b < c and that all are positive even integers, we choose the smallest possible values for a and b .$	$a = 2 b = 4$
$We substitute the values of a and b into the sum to find c .$	$c = 60 - 2 - 4 = 54$

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C

The average (arithmetic mean) of the positive even integers a, b, and c is 20. If a < b < c, what is the greatest possible value of c ?

Explanation	Calculations	Help
$We translate "the average (arithmetic mean) of the positive even integers a, b, and c is 20" into an equation.$	$\frac{a + b + c}{3} = 20$	Theory & Tactics Method Card FDPR0-A Click to view full details
$We multiply both sides by 3 to find the total of the three integers.$	$a + b + c = 60$
$To maximize c given that a < b < c and that all are positive even integers, we choose the smallest possible values for a and b .$	$a = 2 b = 4$
$We substitute the values of a and b into the sum to find c .$	$c = 60 - 2 - 4 = 54$

Scroll horizontally to view all columns

C