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Maharashtra State BoardSSC (English Medium) 9th Standard

Ajay is younger than Vijay by 5 years. Sum of their ages is 25 years. What is Ajay's age? - Algebra

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Question

Ajay is younger than Vijay by 5 years. Sum of their ages is 25 years. What is Ajay's age?

Options

  • 20

  • 15

  • 10

  • 5

MCQ
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Solution

10

Explanation:

Let Ajay's age be x years and Vijay's age be y years.

Ajay is younger than Vijay by 5 years.

y - x = 5    ...(I)

Sum of their ages is 25 years.

x + y = 25   ...(II)

Adding (I) and (II) we have

2y = 30

⇒ y = 15

x = 10

Thus, Ajay's age is 10 years.

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Chapter 5: Linear Equations in Two Variables - Problem Set 5 [Page 91]

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Balbharati Mathematics 1 [English] Standard 9 Maharashtra State Board
Chapter 5 Linear Equations in Two Variables
Problem Set 5 | Q (1) (iii) | Page 91

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