Maharashtra State BoardSSC (English Medium) 9th Standard
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Ajay is Younger than Vijay by 5 Years. Sum of Their Ages is 25 Years. What is Ajay'S Age ? - Algebra

MCQ

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

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Solution

Let Ajay's age be years and Vijay's age be 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.
Hence, the correct answer is option (C).

Concept: General Form of Linear Equation in Two Variables
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APPEARS IN

Balbharati Mathematics 1 Algebra 9th Standard Maharashtra State Board
Chapter 5 Linear Equations in Two Variables
Problem Set 5 | Q 1.3 | Page 91
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