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The average (arithmetic mean) of the positive integers u, v, and w is 7 . If u < v < w, what is the greatest possible value of w ?

Explanation	Calculations	Help
$We translate "the average of the positive integers u, v, and w is 7" into an equation.$	$\frac{u + v + w}{3} = 7$	Theory & Tactics Method Card FDPR0-A Click to view full details
$We multiply both sides by 3 to find the sum of the three integers.$	$u + v + w = 21$
$To maximize w under the conditions "u and positive integers, we choose the smallest possible values for u and v .$	$u = 1 v = 2$
$We substitute the values of u and v into the sum, grouping the subtractions for clarity.$	$w = 21 - (1 + 2) = 21 - 3 = 18$	Theory & Tactics Method Card CALC1-A Click to view full details

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D

The average (arithmetic mean) of the positive integers u, v, and w is 7 . If u < v < w, what is the greatest possible value of w ?

Explanation	Calculations	Help
$We translate "the average of the positive integers u, v, and w is 7" into an equation.$	$\frac{u + v + w}{3} = 7$	Theory & Tactics Method Card FDPR0-A Click to view full details
$We multiply both sides by 3 to find the sum of the three integers.$	$u + v + w = 21$
$To maximize w under the conditions "u and positive integers, we choose the smallest possible values for u and v .$	$u = 1 v = 2$
$We substitute the values of u and v into the sum, grouping the subtractions for clarity.$	$w = 21 - (1 + 2) = 21 - 3 = 18$	Theory & Tactics Method Card CALC1-A Click to view full details

Scroll horizontally to view all columns

D