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

Answer:

$x=7$

Step-by-step explanation:

We have the number:

$\frac{5}{6}$

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:

$\frac{5+x}{6+2x}=\frac{3}{5}$

Solve for x, using cross multiplication:

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