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Q.

In ABC, L,M,N are points on BC, CA, AB respectively, dividing them in the ratio 1:2, 2 :  3, 3 : 5. If the point K divides AB in the ratio 5:3, then AL+BM+CNCK=

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An Intiative by Sri Chaitanya

a

35

b

115

c

58

d

25

answer is A.

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Detailed Solution

OA=a               OB=b        OC=c OL=c+2b3     OM=3c5    ON=3b8 OK=5b8 AL+BM+CN=c+2b3+3c5-b+3b8-c                             =40c+80b+72c-120b+45b-120c120 CK=5b8-c=5b-8c8 =112018=115

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