x : y = 5 : 3 হলে (8x - 5y) : (8x + 5y) = কত?
Solution
Correct Answer: Option A
x : y = 5 : 3
⇒ x/y = 5/3
⇒ 8x/5y = (5 × 8)/(3 × 5) [ 8/5 দ্বারা গুণ করে ]
⇒ 8x/5y = 8/3
⇒ (8x - 5y)/(8x + 5y) = (8 - 3)/(8 + 3) [বিয়োজন - যোজন করে]
⇒ (8x - 5y)/(8x + 5y) = (8 - 3)/(8 + 3)
⇒ (8x - 5y)/(8x + 5y) =5/11
∴ (8x - 5y) : (8x + 5y) = 5 : 11
⇒ x/y = 5/3
⇒ 8x/5y = (5 × 8)/(3 × 5) [ 8/5 দ্বারা গুণ করে ]
⇒ 8x/5y = 8/3
⇒ (8x - 5y)/(8x + 5y) = (8 - 3)/(8 + 3) [বিয়োজন - যোজন করে]
⇒ (8x - 5y)/(8x + 5y) = (8 - 3)/(8 + 3)
⇒ (8x - 5y)/(8x + 5y) =5/11
∴ (8x - 5y) : (8x + 5y) = 5 : 11
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