What is x when 69 divided by x equals 40?
In other words, what would the divisor be if the dividend were 69 and the quotient 40?
To find the answer, just divide the dividend by the quotient: 69 ÷ 40 = 1.725
To prove this, let's compute 69 divided by 1.725:
How does it work?
Asking what the value of x could be when 69 divided by x gives a result of 40, 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 40:
- Which gives, after simplification: (or )
So, if the dividend is 69 and the quotient is 40, the divisor is 1.725.