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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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