What is x when 31 divided by x equals 71?
In other words, what would the divisor be if the dividend were 31 and the quotient 71?
To find the answer, just divide the dividend by the quotient: 31 ÷ 71 = 0.43661971830986
To prove this, let's compute 31 divided by 0.43661971830986:
How does it work?
Asking what the value of x could be when 31 divided by x gives a result of 71, 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 71:
- Which gives, after simplification: (or )
So, if the dividend is 31 and the quotient is 71, the divisor is 0.43661971830986.