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 ..............
x+9
Let numerator be x. Then, denominator=x+10
∴Rational number=xx+10
According to the equation,
New rational number= Numerator+1Denominator−1=x+1x+10−1=x+1x+9
Hence, the new denominator is x+9.