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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Universidad de Mexico