the ages of Arun and Akash are in the ratio of 7 ratio 5 after 6 years there it is would be in the ratio of 5 ratio 4 find their present ages
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Given that the present ages of Arun and Akash are in the ratio 7:6
∴Let the ages of Arun and Akash be 7x and 5x.
Also, given that after 6 years, their ages are in the ratio 5:4
Age of Arun after 6 years = 7x + 6
Age of Akash after 6 years = 5x + 6
ie , 7x + 6 = 5
5x + 6 4
ie, 4 (7x +6) = 5(5x + 6)
ie, 28x + 24 = 25x + 30
ie, 28x - 25x = 30 - 24
ie, 3x = 6
ie, x = 2
∴The present ages of Arun = 7x = 7 × 2 = 14 years
The present age of Akash = 5x = 5 × 2 = 10 years
HOPE THIS HELPS.......
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