Question

Find the value of a a/2-a/3=8

Answer 1

The given expression is,

$\frac{a}{2}-\frac{a}{3}=8$

To solve the above equation for a, first take the common factor a outside and simplify.

$\begin{gathered} a(\frac{1}{2}-\frac{1}{3})=8 \\ a(\frac{3-2}{2\cdot3})=8 \\ a(\frac{1}{6})=8 \end{gathered}$

Cross multiplying,

$\begin{gathered} a=6\cdot8 \\ a=48 \end{gathered}$

Therefore, the value of a is 48.