Answer:
Let the age of Rohan be 4x and that of Sohan be 5x
Therefore, four years from now,their age will be :-
Rohan=4x+4 and Sohan = 5x+4
According to the question,
(4x+4)/(5x+4)=5/6
Multiplying both the sides with 5x+4
5x+4(4x+4)/(5x+4)=5(5x+4)/6
(4x+4)=5(5x+4)/6
Multiplying both the sides with 6
6(4x+4)=6*5(5x+4)/6
6(4x+4)=5(5x+4)
24x+24=25x+20
Subtracting 20 from both the sides
24x+24-20=25x+20-20
24x+4=25x
Subtracting 24x from both the sides
24x+4-24x=25x-24x
4=x
x=4
So,age of Rohan is 4x=4*4=16 years And age of Sohan is 5x=5*4=20 years
Verifications:
According to the question,
(4x+4)/(5x+4)=5/6
(4*4+4)/(5*4+4)=5/6
(16+4)/(20+4)=5/6
20/24=5/6
(4*5)/(4*6)=5/6
5/6=5/6
Since LHS=RHS
Hence verified that x=4 and ages of Rohan and Sohan are 16 and 20 respectively..
Step-by-step explanation:
Well, hope it helps you...
Your welcome in advance..
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