Respuesta :
The quotient of three more than a number and six is nine.
[tex] \underline{ \boxed{ \large{ \sf{ \frac{(3 + n)}{6} = 9}}}}[/tex]
The value of the unknown number is 51
From the given statement we can form the following equations;
let the unknown number = x
Three more than a number:
= 3 + x
The quotient of three more than a number and six:
[tex]= \frac{x+ 3}{6}[/tex]
The result of this division is 9;
[tex]\frac{x+ 3}{6} = 9[/tex]
The value of this unknown number is calculated as;
[tex]\frac{x+ 3}{6} = 9\\\\x+3 = 54\\\\x = 54 - 3\\\\x = 51[/tex]
Thus, the value of the unknown number is 51
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