What is x when 70 divided by x equals 22?
In other words, what would the divisor be if the dividend were 70 and the quotient 22?
To find the answer, just divide the dividend by the quotient: 70 ÷ 22 = 3.1818181818182
To prove this, let's compute 70 divided by 3.1818181818182:
How does it work?
Asking what the value of x could be when 70 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 70 and the quotient is 22, the divisor is 3.1818181818182.