Arithmetichard · Past Paper

If $x:y = 3:2$, then find the ratio of $(2x^2 + 3y^2) : (3x^2 - 2y^2)$.

A30:19
B18:11
C5:3
D25:11

✓ Correct Answer: A30:19

Substitute x=3, y=2: (2*9 + 3*4) : (3*9 - 2*4) = (18+12) : (27-8) = 30:19.

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