If (5x - 2y) : (x - 2y) = 9 : 17, then find the value of (9x/13y).
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. (36/247).
Given that
If (5x - 2y) : (x - 2y) = 9 : 17
⇒ (5x - 2y) × 17 = (x - 2y) × 9
⇒ 85x - 9x = 34y - 18y
⇒ 76x = 16y
⇒ x/y = 4/19
Hence, the value of (9x/13y) = (4 × 9)/(13 × 19) = 36/247