Question

Question 31

Fill in the blanks to make each statement true:

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

x+9
Let numerator be x. Then, denominator=x+10
$\therefore Rationalnumber=\frac{x}{x+10}$
According to the equation,
New rational number= $\frac{Numerator+1}{Denominator-1}=\frac{x+1}{x+10-1}=\frac{x+1}{x+9}$
Hence, the new denominator is x+9.