# The ratio between the present ages of Ram and Rahim is 3:2 respectively. The ratio between the present ages of Rahim and Aman is 5: 2 respectively. What is the ratio between the present ages of Ram and Aman respectively?

Apr 20, 2018

$\left(\text{Ram")/("Aman}\right) = \frac{15}{4}$

#### Explanation:

$\textcolor{b r o w n}{\text{Using ratio in the FORMAT of a fraction}}$

To get the values we need we can look at the units of measurement (identifiers).

Given: $\left(\text{Ram")/("Rahim") and ("Rahim")/("Aman}\right)$

Target is $\left(\text{Ram")/("Aman}\right)$

Notice that:

$\left(\text{Ram")/(cancel("Rahim")) xx (cancel("Rahim"))/("Aman") = ("Ram")/("Aman}\right)$ as required

So all we need to do is multiply and simplify

$\left(\text{Ram")/("Aman}\right) = \frac{3}{2} \times \frac{5}{2} = \frac{15}{4}$

Not able to simplify so this is the ration required