Aptitude 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:

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