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

`(1)/(3)x=1+(1)/(4)x`

Step 2

Find the value of x

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

Answer;

`The\text{ number is 12}`