দুটি সংখ্যা 5 ∶ 7 অনুপাতে রয়েছে। প্রতিটিতে 6 যোগ করলে অনুপাতটি 3 4 হয়ে যায়। সংখ্যাগুলি নির্ণয় করুন।

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 4)
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  1. 30, 42
  2. 55, 88
  3. 10, 16
  4. 25, 40

Answer (Detailed Solution Below)

Option 1 : 30, 42
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প্রদত্ত:

দুটি সংখ্যার অনুপাত = 5 : 7

যখন প্রতিটিতে 6 যোগ করা হয়, তখন নতুন অনুপাত হয় = 3 : 4

গণনা:

ধরা যাক সংখ্যাদুটি হল 5x এবং 7x 

প্রশ্ন অনুযায়ী,

\(\frac{5x+6}{7x+6}=\frac{3}{4}\)

⇒ 4(5x + 6) = 3(7x + 6)

⇒ 20x + 24 = 21x + 18

⇒ 21x – 20x = 24 – 18

⇒ x = 6

প্রথম সংখ্যা = 5x = 5 × 6 = 30

দ্বিতীয় সংখ্যা = 7x = 7 × 6 = 42

অতএব, সংখ্যা দুটি হল 30 এবং 42

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