Two numbers differ by 5. If their product is 336 then the sum of the two numbers is

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WEBCSC 05/2021 Common Official Paper (Morning Shift)
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  1. 21
  2. 28
  3. 37
  4. 51

Answer (Detailed Solution Below)

Option 3 : 37
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Detailed Solution

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Given:

x - y = 5

xy = 336

Formula Used:

(x + y)2 = (x - y)2 + 4xy

Calculation:

Let x and y two numbers.

(x + y)2 = (x - y)2 + 4xy

⇒ (x + y)2 = 52 + 4 × 336

⇒ (x + y)2 = 25 + 1344

⇒ (x + y)2 = 1369

⇒ (x + y) = √1369 = 37

Thus, sum of two numbers = 37

∴ The correct answer is option (3).

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