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If x – y = 2 and 2/(x + y) = 1/5 then

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Question

If x – y = 2 and `2/(x + y) = 1/5` then

Options

  • x = 4, y = 2

  • x = 5, y = 3

  • x = 6, y = 4

  • x = 7, y = 5

MCQ
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Solution

x = 6, y = 4

Explanation:

From `2/(x + y) = 1/5` we get x + y = 10. 

Add this to x – y = 2:

(x + y) + (x – y) = 10 + 2 

⇒ 2x = 12 

⇒ x = 6

Then y = x – 2 = 4.

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Chapter 3: Linear Equations in Two Variables - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 165]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 3 Linear Equations in Two Variables
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 2. | Page 165
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