The sum of two positive numbers is 100. After subtracting 5 from each number, the product of the resulting numbers is 0. One of the original numbers is 

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GATE CE 2020 Official Paper: Shift 1
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  1. 80
  2. 85
  3. 90
  4. 95

Answer (Detailed Solution Below)

Option 4 : 95
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Detailed Solution

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Explanation

Let the two numbers be x and y respectively.

Sum = 100 ⇒ x + y = 100

After subtracting 5 from each number, the two numbers becomes (x - 5) and (y - 5).

Product = 0 ⇒ (x - 5) × (y - 5) = 0

⇒ Either x = 5 or y = 5

If x = 5, then y = 95

& If y = 5, then x = 95

So one of the original numbers is 95 and the other is 5.

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