the ages of arjun and saheb are in the ratio 5:7 if arjun was 9 year older and sahdevwas 9 year younger the age of arjun would have been twice the age of saheb. find their present ages
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=> Let the age of Arjun and Sahadev be 5x and 7x
=> Arjun is 9 year older , 5x + 9
=> Sahadev is 9 year younger , 7x -9
Then ,
=> 5x + 9 = 7x - 9
According to question , Age would be twice .
=> 5x + 9 = (7x - 9 ) 2
=> 5x + 9 = 14x - 18
=> 5x - 14x = -18 - 9
=> -9x = -27
=> 9x = 27
=> x = 27/9
=> x = 3
Arjun age = 5x = 5×3 = 15 year
Sahadev age = 7x = 7×3 = 21 year
Hence , the age of Arjun is 15 year and Sahadev age is 21 year .
=> Arjun is 9 year older , 5x + 9
=> Sahadev is 9 year younger , 7x -9
Then ,
=> 5x + 9 = 7x - 9
According to question , Age would be twice .
=> 5x + 9 = (7x - 9 ) 2
=> 5x + 9 = 14x - 18
=> 5x - 14x = -18 - 9
=> -9x = -27
=> 9x = 27
=> x = 27/9
=> x = 3
Arjun age = 5x = 5×3 = 15 year
Sahadev age = 7x = 7×3 = 21 year
Hence , the age of Arjun is 15 year and Sahadev age is 21 year .
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Answer:arjun age 15
saheb age 21
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