1. The problem statement, all variables and given/known data In the given circuit find the current i1,i2,i3. (Image of the circuit is attached) 2. Relevant equations current=(emf)/total resistance 3. The attempt at a solution The original question actually asks me to find the currents using Kirchoff's laws .Since I feel this method to be a little tedious I tried to do it another way. But the problem is the answers are not coming correct this way ,(which is as follows ) First since the two cells are connected opposite to each other i have assumed the resultant emf of the 21V to be 4V and I have neglected the other 17V cell. then considering 2Ω and 5Ω resistances to be parallel to each other their resultant comes to be (10/7)Ω .And this one being in series with 3Ω, The final resistance of the circuit comes out to be (31/7)Ω. Accordingly current should be i1=28/31 A I am going seriously wrong somewhere:grumpy: , but can't figure out where. . Can you please help? Thanks in advance!!