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Let a 1 , a 2 , and d 1 , d 2 be the first terms and the common difference of the first and second arithmetic progression respectively.
According to the given condition,
Substituting n = 35 in (1), we obtain
From (2) and (3), we obtain
Thus, the ratio of 18th term of both the A.P.s is 179: 321.
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