What is x when 36 divided by x equals 13?
In other words, what would the divisor be if the dividend were 36 and the quotient 13?
To find the answer, just divide the dividend by the quotient: 36 ÷ 13 = 2.7692307692308
To prove this, let's compute 36 divided by 2.7692307692308:
How does it work?
Asking what the value of x could be when 36 divided by x gives a result of 13, 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 13:
- Which gives, after simplification: (or )
So, if the dividend is 36 and the quotient is 13, the divisor is 2.7692307692308.