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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Answer 1 · 2018-04-20T21:06:27

#("Ram")/("Aman") = 15/4#

#color(brown)("Using ratio in the FORMAT of a fraction")#

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

Given: #("Ram")/("Rahim") and ("Rahim")/("Aman")#

Target is #("Ram")/("Aman")#

Notice that:

#("Ram")/(cancel("Rahim")) xx (cancel("Rahim"))/("Aman") = ("Ram")/("Aman")# as required

So all we need to do is multiply and simplify

#("Ram")/("Aman")=3/2xx5/2 = 15/4#

Not able to simplify so this is the ration required