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The Difference Between the Ages of Gopal and His Father is 26 Years. If the Sum of Their Ages is 56 Years, Find the Ages of Gopal and His Father. - Mathematics

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Question

The difference between the ages of Gopal and his father is 26 years. If the sum of their ages is 56 years, find the ages of Gopal and his father.

Sum

Solution

Let age of Gopal = x years

∴ Age of his father = (x + 26) years

According to the sum,

x + x + 26 = 56

⇒ 2x + 26 = 56

⇒ 2x = 56 - 26 = 30

⇒ x = `30/2 = 15`

∴ Age of Gopal = 15 years

and age of his father = 15 + 26 = 41 years

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Concept of Simple (Linear) Equations (Including Word Problems)
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Chapter 22: Simple (Linear) Equations (Including Word Problems) - Exercise 22 (D)

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Selina Mathematics [English] Class 6
Chapter 22 Simple (Linear) Equations (Including Word Problems)
Exercise 22 (D) | Q 8
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