Given that a,b,c,d,e and f are positive integers where a<b<c<d<e<f and a+b+c+d+e+f=100, find the largest value of e. A.46 B.44 C.43 D.40 E.45


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Question Number 121732 by ZiYangLee last updated on 11/Nov/20

$Given that a, b, c, d, e and f are positive$ $integers where a < b < c < d < e < f and$ $a + b + c + d + e + f = 100, find the$ $largest value of e .$ $A . 46 B . 44 C . 43 D . 40 E . 45$
	Answered by bemath last updated on 11/Nov/20

	$e_{m a x} w h e n t h e v a l u e o f a, b, c a n d$ $d m u s t b e m i n i m u m$ $\Rightarrow 1 + 2 + 3 + 4 + e + f = 100$ $\Rightarrow e + f = 90, s i n c e e < f, i t$ $f o l l o w s t h a t e_{m a x} = 44 \land f_{m i n} = 46 .$
	Commented byZiYangLee last updated on 11/Nov/20

	$Yes thanks!$
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