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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 by ZiYangLee last updated on 11/Nov/20

Yes thanks!