# Easy Algebra Solved QuestionAptitude Discussion

 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. $\dfrac{5c}{3}-10$

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:

$y=\dfrac{c}{6}+5$