QQuestion
If (3x − 2y) : (3x + 2y) = 4 : 5 then what is (x + y) : (x − y)?
Exam-ready answer • 02 Mark
✓Answer
(3x − 2y)/(3x + 2y) = 4/5
⇒ 5(3x − 2y) = 4(3x + 2y)
⇒ 15x − 10y = 12x + 8y
⇒ 3x = 18y
⇒ x = 6y
Now (x + y) : (x − y) = (6y + y) : (6y − y)
= 7y : 5y
= 7 : 5
∴ (x + y) : (x − y) = 7 : 5
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