There is extensive study on the Diophantine equation and many papers (see [1]–[6]) dealing with different aspects of (1.1) have appeared in journals.But, the pair of Diophantine equation shave not yet been investigated. Hence, in this paper, we study two similar Diophantine equations which may raise some hope in dealing with (1.2). Based on an elementary approach, we obtain some parametric solutions for (1.3).