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Question
A girl is 28 years younger than her father. The sum of their ages is 50 years. Find the ages of the girl and her father.
Solution
Let x be the age of the girl.
Then, age of her father = (x + 28) yr
According to the question,
∴ x + (x + 28) = 50
⇒ 2x + 28 = 50
⇒ 2x = 50 – 28
⇒ 2x = 22
⇒ x = `22/2` = 11 yr
Hence, the age of the girl is 11 yr and age of her father's age is (11 + 28), i.e. 39 yr.
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