if (a,d) denotes an A.P with first term a and common different d. if the A.P formed by intersection of three A.P's given (1,3), (2,5),and (3,7) is a new A.P (A,D). Then the value of A+D is

Answer

157

Explanation

First series is {1,4,7,10,13,…}
Second series is {2,7,12,17,000}
thirst series is {3,10,17,24, ….}
See the least number in the thirst series which leaves remainder 1 on dividing by 3 and leaves remainder 2 on dividing by 5.
`implies ` 52 is the least number of third series which leaves remainder 1 on dividing by 3 and leaves remainder 2 on dividing by 5
Now A=52
D is L,C M of (3,5,7)=105
`impliesA+D=52+105=157`