Question

The sum of two numbers is 75. The second number is 3 less than twice the first

Answer 1

`\large{\textbf{The two numbers are: 26 and 49}.\\}`

Explanation:

`\large{\textup{assume the two numbers are $x$ and $y$.}}\\\large{\textup{The given sentences are written in mathematical terms as follows:}\\$$ x + y =  75  \hspace{25mm} (1)$$ $$ y = 2x - 3 \hspace{25mm} (2) $$  \\\textup{Substituting $(2)$ in $(1)$,}\\\begin{align*} &  \implies x + 2x - 3 = 75  \\& \implies 3x = 78 \\& \implies x = 26\end{align*}\textup{Substituting $x$ in $(1), \hspace{5mm} y = 49$} }`