the-product-of-3-integer-x-y-z-is-192-z-4-and-t-is-equal-to-average-of-x-and-y-what-is-the-minimum-posible-value-of-t-

Question Number 76872 by john santu last updated on 31/Dec/19

t h e p r o d u c t o f 3 i n t e g e r x, y, z i s 192

. z = 4 a n d t i s e q u a l t o a v e r a g e ?

o f x a n d y . w h a t i s t h e m i n i m u m

p o s i b l e v a l u e o f t ?

Commented by mr W last updated on 31/Dec/19

t = \frac{x + y}{2} = \frac{1}{2} (x + \frac{48}{x})

t_{m i n} = t (- 1) = - \frac{49}{2}

Commented by jagoll last updated on 31/Dec/19

t h i s p r o b l e m a p p l i e s t o n e g a t i v e

i n t e g e r s i r ?

Commented by mr W last updated on 31/Dec/19

i f o n l y p o s i t i v e i n t e g e r s a r e a l l o w e d,

t h e n t_{m i n} = t (6) = t (8) = \frac{1}{2} (6 + \frac{48}{6}) = 7

Commented by john santu last updated on 31/Dec/19

t h a n k s s i r