Question

Josh divided a number by eight .His quotient was 73 with a remainder of six .what was the number he divided?

Answer 1

Let's assume the number be x.

Since Josh divided a number by 8. So, it can be written as x/8.

Given the quotient is 73 with remainder 6.

Now, quotient+ remainder / divisor= 73 + 6/8 (Since the divisor is 8).

Hence we can set the equation as,

x/8= 73+
`(6)/(8)`

`(x)/(8) =(73*8)/(8) +(6)/(8)`

`(x)/(8) =(584)/(8) +(6)/(8)`

`(x)/(8) =(584+6)/(8)`

`(x)/(8) =(590)/(8)`

`(x)/(8) *8=(590)/(8) *8`

x=590

So, the number is 590.