BECE Mathematics 2019 Paper

Concept:Translate the word problem into a linear equation and solve for the unknown number.Explanation:Let the certain number be $x$.Three times the number is $3x$.Twelve is subtracted from it, giving $3x - 12$.This result is divided by four, so we write $\frac{3x - 12}{4}$.The final answer is stated to be $18$, so the equation becomes:$$\frac{3x - 12}{4} = 18$$Multiply both sides by $4$ to remove the denominator:$$3x - 12 = 18 \times 4$$$$3x - 12 = 72$$Add $12$ to both sides:$$3x = 72 + 12$$$$3x = 84$$Divide both sides by $3$:$$x = \frac{84}{3} = 28$$Thus, the required number is $28$.Answer:$28$Correct option: C