If a/b = c/d = e/f, then each of them is equal to

Correct Answer is : a+3c−5eb+3d−5fa+3c-5e/b+3d-5fb+3d−5fa+3c−5e

Correct Answer is : a+3c−5eb+3d−5fa+3c-5e/b+3d-5fb+3d−5fa+3c−5e

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RRB RPF RPSF SI and CONS Model Papers 5 with solutions

Question : 71 of 119

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\frac{a}{b} = \frac{c}{d} = \frac{e}{f}

, then each of them is equal to

Solution:

Let

\frac{a}{b} = \frac{c}{d} = \frac{e}{f} = p

then

a = pb, c = pd and e = pf. Now,

In option (1),

\frac{3a-3c-5e}{b-3d-f}=p\left(\frac{3b-3d-5f}{b-3d-f}\right)

In option (2),

\frac{a-3c-5e}{b-d-f}=p\left(\frac{b-3d-5f}{b-d-f}\right)

In option (3),

\frac{a-c-e}{b-d-5f}=p\left(\frac{b-d-f}{b-d-5f}\right)

In option (4),

\frac{a+3c-5e}{b+3d-5f}=p\left(\frac{b+3d-5f}{b+3d-5f}\right)=p

Thus,

\frac{a}{b} = \frac{c}{d} = \frac{e}{f}

\Rightarrow p=\frac{a+3c-5e}{b+3d-5f}

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