What is x when 46 divided by x equals 22?
In other words, what would the divisor be if the dividend were 46 and the quotient 22?
To find the answer, just divide the dividend by the quotient: 46 ÷ 22 = 2.0909090909091
To prove this, let's compute 46 divided by 2.0909090909091:
How does it work?
Asking what the value of x could be when 46 divided by x gives a result of 22, 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 22:
- Which gives, after simplification: (or )
So, if the dividend is 46 and the quotient is 22, the divisor is 2.0909090909091.