The average age of A, B, C, D, and E is 40 years. The average age of A and B is 35 years and the average of C and D is 42 years. Age of E is?

A) 48

B) 46

C) 42

D) 45

Average of A, B, C, D, E:

(A+B+C+D+E )/5 = 40 

A+B+C+D+E = 200 —- ( i )

Average of A & B:

(A+B)/2 = 35 ⇒ A+B=70 —–( ii )

Average of C & D:

(C+D)/2= 42 ⇒ C+D=84 —–( iii )

Adding equation ( ii ) and ( iii ) 

A+B+C+D= 154 —-( iv ) 

Putting value of equation ( iv ) into equation ( i )

154 + E = 200

           E= 200-154

            E = 46