Question

One third of a number is one more than one fourth of the same number. What is the number?

Answer 1

Step 1

Write the required equation from the word problem.

Let the number be x

$\frac{1}{3}x=1+\frac{1}{4}x$

Step 2

Find the value of x

$\begin{gathered} Multiply\text{ all terms by the LCM. LCM=12} \\ \frac{1}{3}x(12)=1(12)+\frac{1}{4}x(12) \end{gathered}$$\begin{gathered} 4x=12+3x \\ x=12 \end{gathered}$

Answer;

$The\text{ number is 12}$