Find the number of common terms in the following sequences (each of which 
is an A.P) 
37, 103, 169, ………
17, 82, 147, …….which are less than 10,000
 

37 + 66 a = 17 + 65 b
20 + 66 a = 65 b
$b=\frac{20+66a}{65}=\frac{65a}{65}+\frac{a+20}{65}$
For a = 45, we will get the first term common
37 + 66 x  45 = 3007
Hence number of common terms will be 2