could someone help me with this question
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Answered by
4
Answer:
option a
Step-by-step explanation:
7/4
7+4=11
7-4=3
PLS MARK AS BRAINLIEST
Answered by
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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