இரண்டு எண்களின் கூட்டுத்தொகை 680. பெரிய எண்ணை 15% குறைத்து, சிறிய எண்ணை 15% அதிகரித்தால், விளையும் எண்கள் சமமாக இருக்கும். சிறிய எண்ணைக் கண்டறியவும்.

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 2)
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  1. 307
  2. 285
  3. 289
  4. 304

Answer (Detailed Solution Below)

Option 3 : 289
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கொடுக்கப்பட்டது:

இரண்டு எண்களின் கூட்டுத்தொகை 680.

பெரிய எண் 15% குறைந்துள்ளது மற்றும் சிறிய எண் 15% அதிகரித்துள்ளது.

கணக்கீடு:

பெரிய எண் Q ஆக இருக்கட்டும்.

சிறிய எண் = (680 - Q)

கேள்வியின் படி,

Q(1 - 15%) = (680 - Q)(1 + 15%)

⇒ Q/(680 - Q) = 23/17

⇒ 17Q = 23 × 680 - 23Q

⇒ 40Q = 23 × 680

⇒ Q = 23 × 17

⇒ Q = 391

எனவே, சிறிய எண் = 680 - 391 = 289

∴ சிறிய எண் 289.

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