Question

Meena's father's present age is six times Meena's age. Five years from now she will be one-third of her father's present age. What are their present ages?

Answer 1

$\sf \bf {\boxed {\mathbb {GIVEN:}}}$

Meena's father's present age is $six$ times her age.

Five years from now, she will be $one-third$ of her father's present age.

$\sf \bf {\boxed {\mathbb {TO\:FIND :}}}$

The present age of Meena and her father.

$\sf \bf {\boxed {\mathbb {SOLUTION:}}}$

Let Meena and her father's present age be $x$ and $6x$ respectively.

After $5$ years,

$(x + 5) = \frac{1}{3} (6x)$

$↬3(x + 5) = 6x$

$↬3x + 15 = 6x$

$↬6x - 3x = 15$

$↬3x = 15$

$↬x = \frac{15}{3}$

$↬x = 5$

Therefore, the present age of Meena and her father is $\boxed{ 5 }$ and $\boxed{ 30 }$ respectively.

$\sf\red{Hope\:it\:helps.}$