Question

If 15 is added to the numerator of a fraction becomes a 3 if 11 is added to the denominator it becomes 1/3 find the fraction

Answer 1

☞ We have to find the fraction in the question.

• Let fraction = $\dfrac{Numerator\:(N)}{Denominator\:(D)}$

☞ If 15 is added to the Numerator of a fraction, the fraction becomes 3.

$\dfrac{N\:+15}{D}$ = $\dfrac{3}{1}$

On cross-multiplying we get

=> N + 15 = 3D

=> N - 3D = - 15 __________(eq 1)

☞ If 11 is added to the Denominator the fraction becomes 1/3.

$\dfrac{N}{D\:+\:11}$ = $\dfrac{1}{3}$

On cross-multiplying we get

=> 3N = D + 11

=> 3N - D = 11 __________(eq 2)

• On multiplying the (eq 2) by 3 we get

=> 9N - 3D = 33 __________(eq 3)

_______________________________

Solve (eq 1) and (eq 3) by elemination method we get;

N = 6 ______(eq A) [FROM ATTACHMENT]

• Put the value of N in (eq 1)

=> N - 3D = - 15

=> - 3D = - 15 - N

=> 3D = 15 + N

=> 3D = 15 + (6)

=> 3D = 21

D = 7 ______(eq B)

______________________________

Fraction = $\dfrac{N}{D}$

(From eq A and eq B)

Fraction = $\dfrac{6}{7}$

______________________[ANSWER]

Answer 2

Answer:

6/7

Step-by-step explanation:

answer is 6/7

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