How to make the title look like this using maketitle - latex

Question

I tried something like this. But it is not working. I want to put the author object on the left side, the date object on the right side and below them, the title should come and a line should come below the title
\documentclass{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage[english]{babel}
\usepackage{geometry}
\geometry{
a4paper,
total={180mm,266mm},
left=15mm,
top=14mm,
}
\setlength{\parindent}{0em}
\setlength{\parskip}{1.4em}
\newcommand{\HRule}{\rule{\linewidth}{0.5mm}}
\newcommand{\Hrule}{\rule{\linewidth}{0.3mm}}
\makeatletter% since there's an at-sign (#) in the command name
\renewcommand{\#maketitle}{%
%\parindent=0pt% don't indent paragraphs in the title block
{\#author \hfill \#date}
\par
\centering
{\Large \bfseries\textsc{\#title}}
\HRule\par%
}
\makeatother% resets the meaning of the at-sign (#)
\title{
Motivation Letter
}
\author{
Application for Master of Science\\
Computer Science\\
The University of X\\
}
\date{
Sourav Chakraborty\\
x#gmail.com\\
}

Answer 1

Creating this kind of format is just standard latex.
As a starting point that can be largely improved:
\documentclass{article}
\usepackage[T1]{fontenc}
\usepackage[utf8]{inputenc}
\usepackage[english]{babel}
\usepackage{geometry}
\geometry{
a4paper,
total={180mm,266mm},
left=15mm,
top=14mm,
}
\setlength{\parindent}{0em}
\setlength{\parskip}{1.4em}
\begin{document}
~\\[-1cm] % to control vertical position
Application for anything\hfill Paul random\\
School of information\hfill paul.random#gmail.com\\
The university of Nowhere\hfill Appt A...\\
{\centering\textbf{\large Statement of purpose}\\[-0.2cm]} % to have the rule closer
\rule{\textwidth}{1pt} % to control rule width
To Whom It May Concern
Blah blah and so on...
\end{document}