What is x when 35 divided by x equals 1?
In other words, what would the divisor be if the dividend were 35 and the quotient 1?
To find the answer, just divide the dividend by the quotient: 35 ÷ 1 = 35
To prove this, let's compute 35 divided by 35: $\frac{35}{\mathrm{35}}=1$
How does it work?
Asking what the value of x could be when 35 divided by x gives a result of 1, is equivalent to solving the following equation:
$\frac{35}{x}=1$
- Multiply both sides by x: $\frac{35x}{x}=1x$
- $\frac{35x}{x}$ is equivalent to $\frac{x}{x}\times 35$, which simplifies to $1\times 35$ (or just $35$).
- Thus, the equation becomes: $35=1x$
- To find x, divide both sides by 1: $\frac{35}{1}=\frac{1x}{1}$
- Which gives, after simplification: $35=x$ (or $x=35$)
So, if the dividend is 35 and the quotient is 1, the divisor is 35.