From the question, we can say that the high temperature on Monday minus its 10%, equals the high temperature on Tuesday (54° F). Let's call T the temperature on Monday:
[tex]T-0.1\cdot T=54[/tex]The term 0.1*T represents the 10% of T.
Solving the equation:
[tex]\begin{gathered} T(1-0.1)=54 \\ \\ T\cdot0.9=54 \\ \\ T=\frac{54}{0.9} \\ \\ T=60 \end{gathered}[/tex]Then, the temperature on Monday was 60° F.