If a ∶ b = 5 ∶ 3, then (8a – 5b) ∶ (8a + 5b) is equal to∶

If a ∶ b = 5 ∶ 3, then (8a – 5b) ∶ (8a + 5b) is equal to∶
| If a ∶ b = 5 ∶ 3, then (8a – 5b) ∶ (8a + 5b) is equal to∶

A. 5 ∶ 11

B. 2 ∶ 5

C. 3 ∶ 11

D. 3 ∶ 13

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Right Answer is: A

SOLUTION

⇒ a ∶ b = 5 ∶ 3

Suppose a = 5 and b = 3

⇒ (8a – 5b) ∶ (8a + 5b)

⇒ (8 × 5 – 5 × 3) ∶ (8 × 5 + 5 × 3)

⇒ (40 – 15) ∶ (40 + 15)

⇒ 25 ∶ 55 = 5 ∶ 11