Math, asked by wwwabhishektiwari949, 7 months ago

solve my question please​

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Answers

Answered by khushisemra0881
5

Here is your answer user.

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Answered by amitkumar44481
2

QuestioN :

A Fraction become 1/3 When 1 is Subtracted from Numberator . If It become 1/4 When 8 is added to its denominator. Find the fraction ?

AnsWer :

5/12.

To Find :

Fraction ?

SolutioN :

Let,

  • Numberator be N.
  • Denominator be D

# Case 1.

  • A fraction becomes 1/3 when 1 is Subtracted from Numberator.
  • N - 1 / D = 1 / 3.

 \tt : \implies  \dfrac{N  - 1}{D}  =  \dfrac{1}{3}

 \tt : \implies  3N  - 3 = D  \:  \:  \:  \:  \:  - (1)

\rule{120}3

# Case 2.

  • It becomes 1/4 When 8 is added to its denominator.
  • N / D + 8 = 1 / 4.

 \tt : \implies  \dfrac{N }{D + 8}  =  \dfrac{1}{4}

 \tt : \implies  4N   =  D + 8.

 \tt : \implies  4N  - 8  =  D  \:  \:  \:  \:  \:  - (2)

\rule{120}3

Compare both Equation ( 1 , 2 )

 \tt : \implies  3N - 3   =  4N - 8.

 \tt : \implies  8 - 3   =  N.

 \tt : \implies    N = 5.

Now, Putting the value of N in Equation ( 1 )

 \tt : \implies  3N - 3   =  D

 \tt : \implies  3(5) - 3   =  D

 \tt : \implies 15 - 3   =  D

 \tt : \implies    D= 12.

Our Fraction become N / M → 5 / 12.

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