1Department of Mathematics, National College, Trichy, India. E-mail:
2Department of Mathematics, Shrimati Indira Gandhi College, Trichy, India. E-mail:
Different patterns of two parametric solutions in complex integers of the pair of simultaneous equations x + y = u + v, x5 + y5 = u5 + v5 are obtained. A few interesting relations among the solutions are also given.
Double equations, Gaussian integers, fifth order Ramanujan numbers