Three numbers a, b, c between 2 and 18 are such that (i) their sum ...

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Three numbers a, b, c between 2 and 18 are such that
(i) their sum is 25
P
(ii) the numbers \( 2, a, b \), are in A.P.
(iii) the number b, c, 18 are in G.P.
W then which of the following options are correct.
(A) \( a=5 \)
(B) \( b=8 \)
(C) \( b+c=20 \)
(D) \( a+b+c=25 \)
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