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.