Question

If three times a number added to 8 is divided by the number plus 7, the result is four thirds. Find the number.​

Answer 1

9514 1404 393

Answer:

  4/5

Step-by-step explanation:

The wording is ambiguous, as it often is when math expressions are described in English. We assume you intend ...

  $\dfrac{3n+8}{n+7}=\dfrac{4}{3}\\\\3(3n+8)=4(n+7)\qquad\text{multiply by 3(n+7) }\\\\9n+24=4n+28\qquad\text{eliminate parentheses}\\\\5n=4\qquad\text{subtract 4n+24 }\\\\\boxed{n=\dfrac{4}{5}}\qquad\text{divide by 5}$

The number is 4/5.