EGDD(n1 + n2, 3; λ1, λ2) for n1=2 and n1=5

A EGDD(n(1) + n(2), 3; lambda(1), lambda(2)) is a group divisible design with two groups of sizes n(1) and n(2) with block size 3 such that each pair of distinct elements from the same group occurs in lambda(1 )blocks, each pair of elements from different groups occurs in lambda(2) blocks and have equal number of blocks of configuration (1, 2) and (0, 3). We prove that necessary conditions are sufficient for the existence of EGDD(n(1) + n(2), 3; lambda(1), lambda(2)) for n(1) = 2 and 5.