Answer : The value of 'x' is, 6
Step-by-step explanation :
As we are given the expression or equation in verbal sentence. So, first we have to convert it into equation.
2 over 3 equals 8 over quantity x plus 6
The equation will be:
[tex]\frac{2}{3}=\frac{8}{x+6}[/tex]
Now solve the equation, we get the value of 'x'.
[tex]\frac{2}{3}=\frac{8}{x+6}[/tex]
Cross multiplying the equation, we get:
[tex]2\times (x+6)=8\times 3[/tex]
[tex]2x+12=24[/tex]
[tex]2x=24-12[/tex]
[tex]2x=12[/tex]
[tex]x=\frac{12}{2}[/tex]
[tex]x=6[/tex]
Thus, the value of 'x' is, 6
