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Option (4) is right answer
5 years ago
age of Mr Dhuryodhana = 5x-5
age of Mr Dushyasana = 4x-5
ratio = (5x-5)/(4x-5).......(1)
when we put it equal to 4/3 or 4:3
then,
(5x-5)/(4x-5) = 4/3
3(5x-5) = 4(4x-5)
15x-15 = 16x-20
-15+20 = 16x-15x
5 = x
it is positive
so it is the ratio of their ages
simillarly
(5x-5)/(4x-5) = 3/2
2(5x-5) = 3(4x-5)
10x - 10 = 12x - 15
-12x-10x = -15 + 10
-22x = -5
x = 5/22
(5x-5)/(4x-5) = 9/7
7(5x-5) = 9(4x-5)
35x -35 = 36x -45
35x -36x = -45+35
-x = -10
x = 10
but by putting 8:7 equal to equation (1) we get -ve value of x
Hence 8:7 is not the ratio of their ages
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