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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. - Mathematics

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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.

Sum
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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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Chapter 4: Simple Equations - Exercise [Page 114]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 4 Simple Equations
Exercise | Q 98. | Page 114

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