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
Please scroll down to see the correct answer and solution guide.
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