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Half lives of two isotopes \( X \) and \( Y \) of a material are known to be \( 2 \times 10^{9} \) years and \( 4 \times 10^{9} \) years respectively. If a planet was
\( \mathrm{P} \) formed with equal number of these isotopes, then the current age of planet, given that currently the material has \( 20 \% \) of \( X \) and
W \( 80 \% \) of \( Y \) by number, will be :
(A) \( 2 \times 10^{9} \) years
(B) \( 4 \times 10^{9} \) years
(C) \( 6 \times 10^{9} \) years
(D) \( 8 \times 10^{9} \) years
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