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+$\frac{6}{8}$

$\frac{x}{8} =\frac{73*8}{8} +\frac{6}{8}$

$\frac{x}{8} =\frac{584}{8} +\frac{6}{8}$

$\frac{x}{8} =\frac{584+6}{8}$

$\frac{x}{8} =\frac{590}{8}$

$\frac{x}{8} *8=\frac{590}{8} *8$

x=590

So, the number is 590.