Math, asked by Scholar2005, 9 hours ago

could someone help me with this question ​

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Answered by mj3230986
4

Answer:

option a

Step-by-step explanation:

7/4

7+4=11

7-4=3

PLS MARK AS BRAINLIEST

Answered by Anonymous
26

SteP-By-StEp ExpLanATiOn:

Let The Numerator and The Denominator of Fraction are x and y respectively.

According To Question,

1st Situation,

  • ➺ (x + y) / (y - x) = 11/3
  • ➺ 3(x + y) = 11(y - x)
  • ➺ 3x + 3y = 11y - 11x
  • ➺ 14x - 8y = 0
  • ➺ 7x - 4y = 0 •••[1]

2nd Situation,

  • y - x = 3 •••[2]

We have,

  • ➺ 7x - 4y = 0 •••[1]
  • ➺ y - x = 3 •••[2]

From Eq [2]. We have,

  • ➺ y - x = 3 •••[2]
  • y = x + 3 •••[3]

Substitute this value of y in Eq [1],

  • ➺ 7x - 4y = 0 •••[1]
  • ➺ 7x - 4(x + 3) = 0
  • ➺ 7x - 4x - 12 = 0
  • ➺ 3x = 12
  • x = 4

Again Substitute this value of x in Eq [3],

  • ➺ y = x + 3 •••[3]
  • y = 7

Hence,

  • The Fraction is 4/7.

VeRifiCaTioN,

1st Situation,

  • ➺ (x + y) / (y - x) = 11/3
  • ➺ (4 + 7) / (7 - 4) = 11/3
  • ➺ 11/3 = 11/3
  • LHS = RHS

2nd Situation,

  • ➺ y - x = 3
  • ➺ 7 - 4 = 3
  • ➺ 3 = 3
  • LHS = RHS

ReQuiRed AnSwEr,

  • Option D. 4/7

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