What is x when 75 divided by x equals 81?
In other words, what would the divisor be if the dividend were 75 and the quotient 81?
To find the answer, just divide the dividend by the quotient: 75 ÷ 81 = 0.92592592592593
To prove this, let's compute 75 divided by 0.92592592592593:
How does it work?
Asking what the value of x could be when 75 divided by x gives a result of 81, 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 81:
- Which gives, after simplification: (or )
So, if the dividend is 75 and the quotient is 81, the divisor is 0.92592592592593.