Question

Q8. The sum of the numerator and the denominator of a fraction is 15. The denominator is 3 more than twice the numerator. Find the fraction. *​

Answer 1

Question :

The sum of the numerator and the denominator of a fraction is 15. The denominator is 3 more than twice the numerator. Find the fraction.

Answer :

$\sf\pink{Given:}$

• sum of numerator and denominator is 15 .

• Denominator is 3 more than twice numerator .

$\sf\pink{To\:Find:}$

• the fraction .

Explanation :

• let the numerator is "x"

• Therefore denominator = 2x + 3

Equation Formed :

$\\ \longrightarrow\sf{ x + 2x + 3 = 15}$

$\\ \longrightarrow\sf{ 3x + 3 = 15}$

$\\ \longrightarrow\sf{ 3x = 15 - 3}$

$\\ \longrightarrow\sf{ 3x = 12}$

$\\ \longrightarrow\sf{ x = \dfrac{12}{3}}$

$\\ \longrightarrow\sf{ x = 4}$

Therefore the numerator is "x" that is 4 .

Therefore the denominator is 2x + 3 that is

$\\ \longrightarrow\sf{ 2\times 4 + 3}$

$\\ \longrightarrow\sf{ 8 + 3}$

$\\ \longrightarrow\sf{ 11}$

Therefore the denominator is 11 .

Therefore the fraction is $\sf{\dfrac{4}{11}}$

hope it helps you