# 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?

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?
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Cristian Delacruz
Using ratio in the FORMAT of a fraction
To get the values we need we can look at the units of measurement (identifiers).
Given: $\frac{\text{Ram}}{\text{Rahim}}\phantom{\rule{1ex}{0ex}}\text{and}\phantom{\rule{1ex}{0ex}}\frac{\text{Rahim}}{\text{Aman}}$
Target is $\frac{\text{Ram}}{\text{Aman}}$
Notice that:
$\frac{\text{Ram}}{\overline{)\text{Rahim}}}×\frac{\overline{)\text{Rahim}}}{\text{Aman}}=\frac{\text{Ram}}{\text{Aman}}$ as requiblack
So all we need to do is multiply and simplify
$\frac{\text{Ram}}{\text{Aman}}=\frac{3}{2}×\frac{5}{2}=\frac{15}{4}$
Not able to simplify so this is the ration requiblack