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The Age of a Man is 27 Years More than the Age of His Son. If the Sum of Their Ages is 47 Years, Find the Age of the Son and His Father. - Mathematics

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Question

The age of a man is 27 years more than the age of his son. If the sum of their ages is 47 years, find the age of the son and his father.

Sum

Solution

Let the age of son = x years

∴ Age of his father = x + 27

According to the sum:

x + x + 27 = 47

⇒ 2x + 27 = 47

⇒ 2x = 47 - 27 = 20

⇒ x = `20/2 = 10`

∴ Age of son = 10 years

and age of his father = 10 + 27 = 37 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 7
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