हिंदी

Sum of two numbers is 105 and their difference is 45. Find the numbers.

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प्रश्न

Sum of two numbers is 105 and their difference is 45. Find the numbers.

संख्यात्मक
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उत्तर

Given: Let the two numbers be x and y.

x + y = 105 and x – y = 45.

Add the two equations:

(x + y) + (x – y) = 105 + 45 

⇒ 2x = 150

⇒ x = 75

Substitute x = 75 into x + y = 105

⇒ 75 + y = 105

⇒ y = 30

The numbers are 75 and 30.

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अध्याय 3: Pair of Linear Equations in Two Variables - VERY SHORT ANSWER TYPE QUESTIONS (VSAQS) [पृष्ठ ३.७६]

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आर.डी. शर्मा Mathematics [English] Class 10
अध्याय 3 Pair of Linear Equations in Two Variables
VERY SHORT ANSWER TYPE QUESTIONS (VSAQS) | Q 10. | पृष्ठ ३.७६
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