Equations

Concept:Let the unknown number be $x$. The condition "multiplied by 36 gives the same as increasing the number by 1050" leads to the equation $36x = x + 1050$.Explanation:Step 1: Let $x$ be the required number.Step 2: The problem says "when multiplied by 36 is increased by 1050". This translates to $36x = x + 1050$.Step 3: Subtract $x$ from both sides: $36x - x = 1050$ → $35x = 1050$.Step 4: Divide both sides by 35: $x = \frac{1050}{35} = 30$.Answer:The number is $30$.