A radioactive isotope X with a half-life...

A radioactive isotope `X` with a half-life of `1.37 xx 109` years decays to `Y` which is stable. A sample of rock from the moon was found to contain both the elements `X` and `Y` which were in the ratio of `1 : 7`. The age of the rock is.

`4.11xx10^9` year

`2.74 xx10^9` year

`5.48xx10^9` year

`1.37xx10^9` year

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