IIT JAM 2024 Question 60: General equilibrium and exchange economies

Two goods $X, Y$ and two consumers $A, B$ in a pure exchange economy, with $U_A = 2X^{0.4}Y^{0.6}$ and $U_B = X^{0.3}Y^{0.7}$. Each of $A$ and $B$ is endowed with $50$ units of $X$ and $20$ units of $Y$. If the price of $Y$ is normalised to $1$, the equilibrium price of $X$ is ________ (rounded off to two decimal places).