In the circuit given here the points A, B and C are 70 V , zero and 10 V respectively. Then

VA-VD=i  ×  10 ⇒ 70 - VD=10i  → 1 VD-VB=i 1 ×  20 ⇒  VD- 0 =20i 1 → 2 VD-VC=i−i 1 ×  30 ⇒  VD- 10 =30i−i1  → 3  From eq. (i) & (ii) 70−20 i1 = 1 0 i  ⇒ i + 2i1 = 7  → {4} From eq. (ii) & (iii)  20i1−10  = 3 0 i−i1  ⇒ 3i - 5i1 = -1  → {5} Solving……(4 )and (5) i1=2A ,i = 3A ,i−i1 = 1A  hence VD=20 i1 =40 V i  :  i1  :  i-i1  =  3: 2 : 1