Question

Seven-eighths of a number is 63

Answer 1

The number is 72.

Explanation:

Given:

Seven-eights of a number is 63.

To find the number.

Solution:

Let the unknown number be =
`x`

By the given statement :

`(7)/(8)\ of\ x =63`

Thus, the equation to find the number can be given as:

`(7)/(8)x =63`

Solving for
`x`.

Multiplying both sides by 8 to remove fractions.

`8*(7)/(8)x =63* 8`

`7x =63* 8`

Dividing both sides by 7.

`(7x)/(7) =(63* 8)/(7)`

7 will completely divide 7 and 63.

So, we have:

`x=9* 8`

∴
`x=72`

Thus, the unknown number = 72