Two arithmetic progressions have the same numbers. The ratio of the last term of the first progression to first term of the second progression is equal to the ratio of the last term of the second progression to the first term of the first progression and is equal to 4, the ratio of the sum of the terms of the first progression to the sum of the terms of the second progression is equal to 2 


The ratio of their common difference is 


a) 
12 
b) 
24 
c) 
26 
d) 
9 
Two arithmetic progressions have the same numbers. The ratio of the last term of the first progression to first term of the second progression is equal to the ratio of the last term of the second progression to the first term of the first progression and is equal to 4, the ratio of the sum of the terms of the first progression to the sum of the terms of the second progression is equal to 2 


The ratio of their common difference is 


a) 
12 
b) 
24 
c) 
26 
d) 
9 
(c)
Let the first term and common difference of the first A.P. and the first6 term and commo0n difference of the second A.P. and let the number of terms be . Then,
(1)
(2)
From (1) and (2), we get
(3)
(4)
(5)
gives
(6)
gives
(7)
Further, gives
Or
Putting in (3) and solving it with (4), we get
Then, the ratio of their terms is