Question
x and y are two numbers having opposite signs such that.
x2 : y2 = 49 : 64. What is the value of (5x - 6y): (6x - 7y)?Solution
x2 ∶ y2 = 49 ∶ 64 x and y are opposite signs Calculation: x2 ∶ y2 = 49 ∶ 64 ⇒ x ∶ y = 7 ∶ - 8 Now, (5x - 6y) ∶ (6x - 7y) ⇒ (5 × 7 - 6 × - 8) ∶ (6 × 7 - 7 × - 8) ⇒ (35 + 48) ∶ (42 + 56) ⇒ 83 ∶ 98 ∴ Required answer is 83 ∶ 98
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