যদি (7x + y) ∶ (7x - y) = 7 ∶ 3 হয়, তাহলে x ∶ y এর মান কত হবে?

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SSC MTS (2022) Official Paper (Held On: 02 May 2023 Shift 1)
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  1. 4 ∶ 3
  2. 5 ∶ 14
  3. 15 ∶ 6
  4. 6 ∶ 15

Answer (Detailed Solution Below)

Option 2 : 5 ∶ 14
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SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
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প্রদত্ত

(7x + y) ∶ (7x - y) = 7  3

ধারণা:

অনুপাত সূত্র প্রয়োগ করে প্রশ্নটি সমাধান করা যাবে।

সমাধান:

(7x + y) ∶ (7x - y) = 7 ∶ 3

21x + 3y = 49x - 7y

28x = 10y

⇒ x ∶ y এর অনুপাত নির্ণয় করতে সরলীকরণ করার পর = 5 ∶ 14

অতএব, x : y এর মান হল 5 : 14।

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