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The ages of Raju and Ravi are in the ratio 3:4 .Four years from now the ratio of their ages will be 4:5 . Find their present ages.
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Answer:
step by step explaination:
The ages of Raju and Ravi are in the ratio 3:4 = 3x,4x
Let, the age of Raju=3x
the age of Ravi=4x
After 4 years age of Raju=3x+4
age of Ravi=4x+4
After 4 years ratio of their age=4:5
3x+4:4x+4=4:5
3x+4/4x+4=4/5
cross multiplication:
5(3x+4)=4(4x+4)
15x+20=16x+16
15x-16x=16-20
-1x=-4
both subtraction symbols will cancelled
x=4
therefore,the present age of Raju=3(4)=12yrs
the present age of Ravi=4(4)=16yrs
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