What is x when 34 divided by x equals 35?
In other words, what would the divisor be if the dividend were 34 and the quotient 35?
To find the answer, just divide the dividend by the quotient: 34 ÷ 35 = 0.97142857142857
To prove this, let's compute 34 divided by 0.97142857142857:
How does it work?
Asking what the value of x could be when 34 divided by x gives a result of 35, 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 35:
- Which gives, after simplification: (or )
So, if the dividend is 34 and the quotient is 35, the divisor is 0.97142857142857.