இரண்டு எண்கள் 6 ∶ 7 என்ற விகிதத்தில் உள்ளன. ஒவ்வொரு எண்களிலும் 12ஐச் சேர்த்தால், அவற்றின் விகிதம் 7 ∶ 8 ஆக மாறும். எனில் அந்த இரண்டு எண்களைக் கண்டறியவும்.

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UGC NET Paper 1: Held on 1 Oct 2022 Shift 2
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  1. 72, 84
  2. 84, 96
  3. 84, 98
  4. 96, 84

Answer (Detailed Solution Below)

Option 1 : 72, 84
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
50 Qs. 100 Marks 60 Mins

Detailed Solution

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கொடுக்கப்பட்டது:

m : n  = 6 : 7

(m + 12) : (n + 12) = 7 : 8

தீர்வு:

m  = 6n/7

⇒ 8 x (6n/7 + 12) = 7 x (n + 12)

⇒ 48n + 672 = 49n + 588

n = 672 - 588

n = 84

m = (6 x 84)/7 = 72

இரண்டு எண்கள் 72 மற்றும் 84 ஆகும்.

எனவே, சரியான விருப்பம் 1 ஆகும்.

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