Question

Age of mother is 13 times the age of her daughter.it will be 5 times after four years. Find the present ages.

Answer 1

Answer:The present age of the daughter is 2 years.

The present age of the mother is 26 years.

Answer 2

Answer:

The present age of mother is 26 years and the daughter is 2 years.

Step-by-step explanation:

Given that the age of the mother is 13 times the age of her daughter. It will be 5 times after four years. The question is to find the present age.

Let the present age of the daughter be 'x'

Then the age of the mother = $13\tiimes x$

The age difference = $13\tiimes x-x$

The age of the daughter after 4 years = x+4

Therefore the age of the mother after 4 years = $5(x+4)$

The age difference=$5(x+4)-(x+4)$

Now we have two equations for the age difference, equate these two to find 'x'. That is,

      $13\tiimes x-x=5(x+4)-(x+4)$

           $12x=5x+20-x-4\\\\12x=4x+16$

           $\begin{array}{l}12x-4x=16\\\\8x=16\\\\x=\dfrac{16}{8}\\\\x=2\end{array}$

Hence the daughter is 2 years old.

Therefore the present age of the mother = $13\tiimes x$ $=13\times 2=26$ years