What is x when 23 divided by x equals 9?
In other words, what would the divisor be if the dividend were 23 and the quotient 9?
To find the answer, just divide the dividend by the quotient: 23 ÷ 9 = 2.5555555555556
To prove this, let's compute 23 divided by 2.5555555555556:
How does it work?
Asking what the value of x could be when 23 divided by x gives a result of 9, is equivalent to solving the following equation:
- Multiply both sides by x:
- is equivalent to , which simplifies to (or just ).
- Thus, the equation becomes:
- To find x, divide both sides by 9:
- Which gives, after simplification: (or )
So, if the dividend is 23 and the quotient is 9, the divisor is 2.5555555555556.