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

Explanation:

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

`(3n+8)/(n+7)=(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=(4)/(5)}\qquad\text{divide by 5}`

The number is 4/5.