What is x when 85 divided by x equals 24?

In other words, what would the divisor be if the dividend were 85 and the quotient 24?

To find the answer, just divide the dividend by the quotient: 85 ÷ 24 = 3.5416666666667

To prove this, let's compute 85 divided by 3.5416666666667: 85 3.5416666666667 = 24

How does it work?

Asking what the value of x could be when 85 divided by x gives a result of 24, is equivalent to solving the following equation:

85 x = 24

  1. Multiply both sides by x: 85 x x = 24 x
  2. 85 x x is equivalent to x x × 85 , which simplifies to 1 × 85 (or just 85 ).
  3. Thus, the equation becomes: 85 = 24 x
  4. To find x, divide both sides by 24: 85 24 = 24 x 24
  5. Which gives, after simplification: 3.5416666666667 = x (or x = 3.5416666666667 )

So, if the dividend is 85 and the quotient is 24, the divisor is 3.5416666666667.