Question

the ratio between the present age of manisha and deepali is 5:x. manisha is 9 years younger than parineeta. parineeta’s age after 9 years will be 33 years. the difference between deepali’s and manisha’s age is same as the present age of parineeta. what will come in place of x?

Answer 1

13 will come in the place of $x$

Explanation

The ratio between the present age of Manisha and Deepali is $5:x$

The question says that, Parineeta's age after 9 years will be 33 years. That means, the present age of Parineeta $=(33-9)years = 24 years$

Now, Manisha is 9 years younger than Parineeta. So the present age of Manisha will be $: (24-9) years =15 years$

The difference between Deepali's and Manisha's age is same as the present age of Parineeta, i.e 24 years

If we assume Deepali's present age as $y$ years, so we will get...

$y-15=24\\ \\ y=24+15= 39$

Thus, Deepali's present age is 39 years.

Now, as the ratio of Manisha's age and Deepali's age is $5:x$, so...

$\frac{Manisha}{Deepali} = \frac{5}{x}\\ \\ \frac{15}{39} =\frac{5}{x}\\ \\ 15x=195\\ \\ x= \frac{195}{15} \\ \\ x= 13$

So, the value of $x$ is 13