Algebra
Aptitude

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Q.

Five years ago, Bina's age was three times that of the Arti. Ten years ago, Bina's age was half that of Chitra. If $c$ represents Chitra's current age, which of the following represent Arti's current age?

 A.

\(\dfrac{(c-10)}{3}\)

 B.

\(\dfrac{c}{6}+5\)

 C.

\(3c-5\)

 D.

\(\dfrac{5c}{3}-10\)

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Solution:
Option(B) is correct

Let the Bina's current age $= x$

Arti's present age $=y$

Then, $(x−5)=3(y−5)$

$\Rightarrow x−5=3y−15$ -------- (i)

Again,

\(x-10=\dfrac{1}{2}\times (c-10)\)

\(x=\dfrac{(c-10)}{2}+10\)-------- (ii)

On putting value of $x$ in equation (i),we get:

\(y=\dfrac{c}{6}+5\)


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