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William's age is 1/6th of his mother's age. William's mother's age will be twice Harnish's age after 10 years. If Harnish's eight birthdays was celebrated two years before, then what is William's present age.

William's age is 1/6th of his mother's age. William's mother's age will be twice Harnish's age after 10 years. If Harnish's eight birthdays was celebrated two years before, then what is William's present age. Correct Answer 5

Consider that William's present age = y

Then, his mother's age = 6y

From question, William's mother's age will be twice Harnish's age after 10 years.

Therefore, Harnish's age after 10 years = (6y + 10) / 2= 3y + 5

Also given that Harnish’s eight birthdays was celebrated two years before.

Therefore, Harnish's age after 10 years = 8 + 12 = 20

3y + 5 = 20

y = 5

Therefore, William's present age = 5 years

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