Given B / a = (4d-7) / C, (B + 1) / a = 7 (D-1) / C, find C / a =?, D / b =? a. B, C and D are all positive integers

Given B / a = (4d-7) / C, (B + 1) / a = 7 (D-1) / C, find C / a =?, D / b =? a. B, C and D are all positive integers


1 / a = (B + 1) / A-B / a = 7 (D-1) / C - (4d-7) / C = 3D / C so: 3aD = C so: B / a = (4d-7) / (3aD) so: (3D) B = 4d-7 = 3D + (D-7) so: 3D | (D-7) so: D-7 = 0 (because D is a positive integer), B = 1 so: C / a = 3D = 21, D / b = 7