Question

The denominator of a rational number is greater than the numerator by $10$. If the numerator is increased by $1$ and the denominator is decreased by $1$, then expression for new denominator is _________.

Answer 1

Let the numerator be $x$.

Therefore according to given condition denominator $=x+10$

According to question If the numerator is increased by $1$ and the denominator is decreased by $1$

then new numerator $=x+1$ and new denominator $=x+10-1=x+9$

Hence, expression for new denominator is $x+9$