Respuesta :

Answer :

The required number is 2.

Step-by-step explanation:

Given : The sum of six fifths and six times a number is equal to four fifths subtracted from seven times the number.

To find : The number ?

Solution :

Let the number be 'x'.

The sum of six fifths and six times a number i.e.  [tex]\frac{6}{5}+6x[/tex]

Four fifths subtracted from seven times the number i.e. [tex]7x-\frac{4}{5}[/tex]

According to question,

[tex]\frac{6}{5}+6x=7x-\frac{4}{5}[/tex]

[tex]7x-6x=\frac{6}{5}+\frac{4}{5}[/tex]

[tex]x=\frac{10}{5}[/tex]

[tex]x=2[/tex]

The required number is 2.

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