the ratio of present ages of Karthik and Ramana is 2 is to 3 after 5 years from now it becomes 4 is to 5 what is the present age of ramana.
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Ratio of ages of karthik to Ramana = 2:3
let the present age of karthik be 2x and that of Ramana be 3x
Given, 5 years later ratio of ages =4:5
i.e. 2x+5:3x+5=4:5
5(2x+5)=4(3x+5) ( Cross Multiply)
10x+25=12x+20
2x=5
x=5/2=2.5
Age of karthik= 3x=3*2.5=7.5 years
Age of Ramana=2x=2*2.5=5 years
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