What is x when 49 divided by x equals 23?
In other words, what would the divisor be if the dividend were 49 and the quotient 23?
To find the answer, just divide the dividend by the quotient: 49 ÷ 23 = 2.1304347826087
To prove this, let's compute 49 divided by 2.1304347826087:
How does it work?
Asking what the value of x could be when 49 divided by x gives a result of 23, 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 23:
- Which gives, after simplification: (or )
So, if the dividend is 49 and the quotient is 23, the divisor is 2.1304347826087.