The average (arithmetic mean) of the positive even... | Free GMAT Practice Question | GMAT Panda

👋 Hi! I'm GMAT Panda. Ask me anything about this question, or click a button below to get started!

The average (arithmetic mean) of the positive even integers a, b, and c is 12 . If a < b < c, what is the greatest possible value of c ?

Explanation	Calculations	Help
$We translate "the average of a, b, and c is 12" into an equation.$	$\frac{a + b + c}{3} = 12$	Theory & Tactics Method Card FDPR0-A Click to view full details
$We multiply both sides by 3 to isolate the sum of a, b, and c.$	$a + b + c = 36$
$Since a, b, and c are positive even integers with a < b < c, we minimize a and b to maximize c .$	$a = 2 b = 4$
$We substitute these values into the sum to find c .$	$c = 36 - 2 - 4 = 30$

Scroll horizontally to view all columns

B

The average (arithmetic mean) of the positive even integers a, b, and c is 12 . If a < b < c, what is the greatest possible value of c ?

Explanation	Calculations	Help
$We translate "the average of a, b, and c is 12" into an equation.$	$\frac{a + b + c}{3} = 12$	Theory & Tactics Method Card FDPR0-A Click to view full details
$We multiply both sides by 3 to isolate the sum of a, b, and c.$	$a + b + c = 36$
$Since a, b, and c are positive even integers with a < b < c, we minimize a and b to maximize c .$	$a = 2 b = 4$
$We substitute these values into the sum to find c .$	$c = 36 - 2 - 4 = 30$

Scroll horizontally to view all columns

B