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If x:y = 4:7, the value of (x + y ) /(x – y ) = ?
- a)-33/65
- b)65/33
- c)33/65
- d)-65/33
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If x:y = 4:7, the value of (x + y ) /(x – y ) = ?a)-33/65b)65/33...
D) -65/33
Explanation : X = 4a; y = 7a (x + y ) /(x – y ) = (4a) + (7a) / (4a) – (7a) = a (16+49)/ a (16-49) = -65/33
Explanation : X = 4a; y = 7a (x + y ) /(x – y ) = (4a) + (7a) / (4a) – (7a) = a (16+49)/ a (16-49) = -65/33
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If x:y = 4:7, the value of (x + y ) /(x – y ) = ?a)-33/65b)65/33...
The expression (x y ) /(x + y) can be simplified by substituting the given ratio.
Given: x:y = 4:7
We can let x = 4a and y = 7a, where a is a variable.
Substituting this into the expression (x y ) /(x + y), we get:
(4a + 7a) / (4a + 7a)
Simplifying the numerator, we have 11a.
Simplifying the denominator, we have 11a.
Therefore, the expression (x y ) /(x + y) equals 11a / 11a, which simplifies to 1.
So, the value of (x y ) /(x + y) is 1.
Given: x:y = 4:7
We can let x = 4a and y = 7a, where a is a variable.
Substituting this into the expression (x y ) /(x + y), we get:
(4a + 7a) / (4a + 7a)
Simplifying the numerator, we have 11a.
Simplifying the denominator, we have 11a.
Therefore, the expression (x y ) /(x + y) equals 11a / 11a, which simplifies to 1.
So, the value of (x y ) /(x + y) is 1.
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If x:y = 4:7, the value of (x + y ) /(x – y ) = ?a)-33/65b)65/33c)33/65d)-65/33Correct answer is option 'D'. Can you explain this answer?
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