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Time variable $\Lambda$ and $G$ are studied here under a phenomenologicalmodel of $\Lambda$ through an ($n+2$) dimensional analysis. The relation ofZeldovich (1968) $|\Lambda| = 8\pi G^2m_p^6/h^4$ between $\Lambda$ and $G$ isemployed here, where $m_p$ is the proton mass and $h$ is Planck's constant. Inthe present investigation some key issues of modern cosmology, viz. the ageproblem, the amount of variation of $G$ and the nature of expansion of theUniverse have been addressed.

Higher Dimensional Dark Energy Investigation with Variable $\Lambda$ and $G$