What is x when 69 divided by x equals 21?
In other words, what would the divisor be if the dividend were 69 and the quotient 21?
To find the answer, just divide the dividend by the quotient: 69 ÷ 21 = 3.2857142857143
To prove this, let's compute 69 divided by 3.2857142857143:
How does it work?
Asking what the value of x could be when 69 divided by x gives a result of 21, 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 21:
- Which gives, after simplification: (or )
So, if the dividend is 69 and the quotient is 21, the divisor is 3.2857142857143.