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If x : y = 2 : 3, y : z = 4 : 3 then x : y : z is
- a)2 : 3 : 4
- b)4 : 3 : 2
- c)3 : 2 : 4
- d)none of these
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If x : y = 2 : 3, y : z = 4 : 3 then x : y : z isa)2 : 3 : 4b)4 : 3 : ...
Making y same, we get
x:y = 8 :12 (multiplied by 4)
y:z = 12:9 (multiplied by 3)
x:y:z = 8:12:9
x:y = 8 :12 (multiplied by 4)
y:z = 12:9 (multiplied by 3)
x:y:z = 8:12:9
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If x : y = 2 : 3, y : z = 4 : 3 then x : y : z isa)2 : 3 : 4b)4 : 3 : ...
Given: x : y = 2 : 3, y : z = 4 : 3
To find: x : y : z
Solution:
Let's assume the value of y to be a common factor between the two ratios.
x : y = 2 : 3 (multiplying both sides by 4)
4x : 4y = 8 : 12
y : z = 4 : 3 (multiplying both sides by 3)
3y : 3z = 12 : 9
Now, we can equate 4y and 3y as they are both equal to 'y'.
4x : 4y = 3y : 3z
Simplifying this equation, we get:
4x : 3z = 4 : 3
Cross-multiplying, we get:
12x = 4z
z = 3x
Therefore, the ratio x : y : z becomes:
x : y : z = x : y : 3x
Simplifying this ratio, we get:
1 : 1 : 3
Hence, the correct answer is option 'D' - none of these.
To find: x : y : z
Solution:
Let's assume the value of y to be a common factor between the two ratios.
x : y = 2 : 3 (multiplying both sides by 4)
4x : 4y = 8 : 12
y : z = 4 : 3 (multiplying both sides by 3)
3y : 3z = 12 : 9
Now, we can equate 4y and 3y as they are both equal to 'y'.
4x : 4y = 3y : 3z
Simplifying this equation, we get:
4x : 3z = 4 : 3
Cross-multiplying, we get:
12x = 4z
z = 3x
Therefore, the ratio x : y : z becomes:
x : y : z = x : y : 3x
Simplifying this ratio, we get:
1 : 1 : 3
Hence, the correct answer is option 'D' - none of these.
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If x : y = 2 : 3, y : z = 4 : 3 then x : y : z isa)2 : 3 : 4b)4 : 3 : 2c)3 : 2 : 4d)none of theseCorrect answer is option 'D'. Can you explain this answer?
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