WAEC Mathematics 2010 Paper

Concept:Form a linear equation from the given word statement and solve for $x$.Explanation:The sum of 6 and one-third of $x$ is $6 + \frac{1}{3}x$.One more than twice $x$ is $1 + 2x$.Therefore, the equation is:$$6 + \frac{x}{3} = 1 + 2x$$Multiply each term by 3 to remove the denominator:$$18 + x = 3 + 6x$$Subtract $x$ from both sides:$$18 = 3 + 5x$$Subtract 3 from both sides:$$15 = 5x$$Divide both sides by 5:$$x = \frac{15}{5} = 3$$Check: $6 + \frac{1}{3}(3) = 6 + 1 = 7$ and $1 + 2(3) = 7$. Hence the value is correct.Answer:$x = 3$, so the correct option is C.