Question

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

Answer 1

The given expression is,

`(a)/(2)-(a)/(3)=8`

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

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

Cross multiplying,

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

Therefore, the value of a is 48.