Question

If a number is added to the number of 5/6 and twice as much is added to the denominator, the result is 3/5, find the number

Answer 1

`x=7`

Explanation:

We have the number:

`(5)/(6)`

If a number is added to the numerator and twice as much is added to the denominator and the result is 3/5, we can create the following equation:

`(5+x)/(6+2x)=(3)/(5)`

Solve for x, using cross multiplication:

`\begin{gathered} 5(5+x)=3(6+2x) \\ 25+5x=18+6x \\ -x=-7 \\ x=7 \end{gathered}`