WAEC Mathematics 2012 Paper

Concept:Translate the given English statement into an algebraic equation.Explanation:Let the unknown number be $n$.One third of $n$ is $\frac{n}{3}$.Twice $n$ is $2n$.“1 more than twice $n$” means $2n + 1$.The statement gives:$$12 + \frac{n}{3} = 2n + 1$$Multiply every term by $3$ to remove the fraction:$$36 + n = 6n + 3$$Bring the variable terms to one side and constants to the other:$$36 - 3 = 6n - n$$$$33 = 5n$$Rearrange so the right-hand side is zero:$$5n - 33 = 0$$Answer:The required equation is $5n - 33 = 0$.