Answer :
The required number is 2.
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.
![(6)/(5)+6x](https://img.qammunity.org/2021/formulas/mathematics/high-school/obo5hh6fwfi695lg9cuw98iduqeha4ic5q.png)
Four fifths subtracted from seven times the number i.e.
![7x-(4)/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ls9igt3m2bmr9mqxoof2sfnodwn0uce5aq.png)
According to question,
![(6)/(5)+6x=7x-(4)/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/b55b6kig0e94ctkpzm4bem78s6q8kmxytf.png)
![7x-6x=(6)/(5)+(4)/(5)](https://img.qammunity.org/2021/formulas/mathematics/high-school/z5mm7o2jgzvxnpl04f5frw27nupj6ahc57.png)
![x=(10)/(5)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/njfeodgrhnurln08noabo2trpm8e57o04q.png)
![x=2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/l44oth01qqbnuop6qxtvmqlzuv7kvr7xrb.png)
The required number is 2.