Question

If * and ~ are two operations such that x*y = x ( multiplied by) x + 2 and x~y = x + y - 1. Find ((3 * 3 )*3)~3.

Answer 1

((3*3)*3)~3=((3×3+2)*3)~3
                 =(8×8+2)~3
                 =66+3-1
                 =68

Answer 2

Given : 
→ * and ~ are two operations. 
→ x*y = x (multiplied by) x+2 and x~y = x+y-1 

Need to find out : 
→ {(3*3)*3}~3 

Solution : 
⇒{(3*3)*3}~3  = {(3*3+2)*3}~3 
⇒ (8*8+2)~3 
⇒ (64+2)~3 
⇒ 66+3-1 
⇒ 68 

Conclusion : 
∴ {(3*3)*3}~3  = "68"