What is x when 54 divided by x equals 10?
In other words, what would the divisor be if the dividend were 54 and the quotient 10?
To find the answer, just divide the dividend by the quotient: 54 ÷ 10 = 5.4
To prove this, let's compute 54 divided by 5.4:
How does it work?
Asking what the value of x could be when 54 divided by x gives a result of 10, 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 10:
- Which gives, after simplification: (or )
So, if the dividend is 54 and the quotient is 10, the divisor is 5.4.