Question

the ratio of the present age of aryan and aditi is 4:5. the ratio of the present age of aditi and atharva is 3:2. If the present age of aryan is 24 years. Find the present age of Atharva

Answer 1

The present age of Atharva is 20 years.

Step-by-step explanation:

Given:

The ratio of the present age of aryan and aditi is 4:5. the ratio of the present age of aditi and atharva is 3:2. If the present age of aryan is 24 years.

Now, to find the present age of atharva.

Let the present age of Atharva be $x.$

And let the present age of Aditi be $y.$

As, the present age of aryan is 24 years.

So, by using cross multiplication method we get the age of Aditi:

$\frac{24}{x} = \frac{4}{5}$

By cross multiplying we get:

$120=4x$

$30=x\\\\x=30.$

So, the present age of Aditi is 30 years.

Now, to get the age of Aryan by using the same method as done above:

$\frac{30}{y} =\frac{3}{2}$

By cross multiplying we get:

$60=3y$

$20=y\\\\y=20.$

Therefore, the present age of Atharva is 20 years.

Answer 2

The ratio of the present age of aryan and aditi is 4:5. the ratio of the present age of aditi and atharva is 3:2. If the present age of aryan is 24 years.

Now, to find the present age of atharva.

Let the present age of Atharva be x.x.

And let the present age of Aditi be y.y.

As, the present age of aryan is 24 years.

So, by using cross multiplication method we get the age of Aditi:

\frac{24}{x} = \frac{4}{5}

x

24

=

5

4

By cross multiplying we get:

120=4x120=4x

\begin{gathered}30=x\\\\x=30.\end{gathered}

30=x

x=30.

So, the present age of Aditi is 30 years.

Now, to get the age of Aryan by using the same method as done above:

\frac{30}{y} =\frac{3}{2}

y

30

=

2

3

By cross multiplying we get:

60=3y60=3y

\begin{gathered}20=y\\\\y=20.\end{gathered}

20=y

y=20.

Therefore, the present age of Atharva is 20 years.