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Maharashtra State BoardSSC (English Medium) 10th Standard

Ajay is younger than Vijay by 3 years. The sum of their ages is 25 years. What is the age of Ajay?

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Question

Ajay is younger than Vijay by 3 years. The sum of their ages is 25 years. What is the age of Ajay?

Sum
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Solution 1

Let the ages of Ajay and Vijay be x years and y years respectively.

According to the first condition,

Ajay is younger than Vijay by 3 years.

∴ y – x = 3

i.e., – x + y = 3   ...(i)

According to the second condition,

Sum of their ages is 25.

∴ x + y = 25   ...(ii)

Subtracting equation (i) from (ii), we get

    x + y = 25
–  x + y = 3
+    −       −   
   2x      = 22 

∴ x = `22/2`

∴ x = 11

∴ Ajay’s age is 11 years.

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Solution 2

Let the age of Ajay be x years.

Ajay is younger than Vijay by 3 years.

∴ Vijay’s age = x + 3

According to the given condition,

Sum of their ages is 25.

∴ x + x + 3 = 25

∴ 2x + 3 = 25

∴ 2x = 22

∴ x = `22/2`

∴ x = 11

∴ Ajay’s age is 11 years.

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  Is there an error in this question or solution?
Chapter 1: Linear Equations in Two Variables - Q.3 (B)
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