Topics
The quantity that must be added to each term of a : b, so as to make it c:d,is
|
A) \( \Large \frac{ab-cd}{a-b} \) |
|
B) \( \Large \frac{ac+bd}{c+a} \) |
|
C) \( \Large \frac{ad+bc}{c+d} \) |
|
D) \( \Large \frac{ad-bc}{c-d} \) |
Correct Answer:
| D) \( \Large \frac{ad-bc}{c-d} \) |
Description for Correct answer:
Let the quantity be x.
Then, \( \Large \frac{a+x}{b+x}=\frac{c}{d} \)
=> (a+x)d=(b+x)c
=> ad+dx=bc+cx
=> ad-bc=cx-dx
=> ad-bc=x(c-d)
x=\( \Large \frac{ad-bc}{c-d} \)
Let the quantity be x.
Then, \( \Large \frac{a+x}{b+x}=\frac{c}{d} \)
=> (a+x)d=(b+x)c
=> ad+dx=bc+cx
=> ad-bc=cx-dx
=> ad-bc=x(c-d)
x=\( \Large \frac{ad-bc}{c-d} \)
Part of solved Ratio and Proportions questions and answers : >> Aptitude >> Ratio and Proportions
Comments
Similar Questions
