Question

the denominator of rational number is greater than the numerator by 10 if the numerator is increased by 1 the denominator is decreased by 1,then expression for new denominator is _______

Answer 1

let the numerator be 'n' and the denominator be 'd'

thus the rational number is given by 'n/d'

given that, the denominator is greater than the numerator by 10 i.e

d= n+10

now,the rational no. becomes 'n/(n+10)'

Now given that if numerator is increased by 1 and the denominator is decreased by 1, then the no. becomes 'n+1/(n+10-1)' = n+1/(n+9)

therefore, the new expression for the denominator is 'n+9'

Answer 2

Answer

x+9.

Step by Step Explanation

If the numerator is x, the denominator will be = x+10.

Therefore, Rational number=

x+10

x

As per the question,

The new rational number is=

Denominator−1

Numerator+1

=

x+10−1

x+1

=

x+9

x+1

Hence, x+9 is the new denominator