Question

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

Answer 1

The denominator of a rational number is greater than the numerator by 10. If the numerator is increased by 1 the and denominator is decreased by 1, then expression for new denominator is x + 9.

Explanation:

Let numerator be x.

Then, denominator = x + 10

∴ Rational number = `x/(x + 10)`

According to the question,

New rational number = `("Numerator" + 1)/("Denominator" - 1)`

= `(x + 1)/(x + 10 - 1)`

= `(x + 1)/(x + 9)`

Hence, the new denominator is x + 9.