Question

If x : y = 3 : 2, then the ratio (2x² + 3y²) : (3x² – 2y²) is equal to ______.

Options

• 5 : 3

• 6 : 5

• 12 : 5

• 30 : 19

Answer 1

If x : y = 3 : 2, then the ratio (2x² + 3y²) : (3x² – 2y²) is equal to 30 : 19.

Explanation:

Put x = 3k and y = 2k. The two expressions become 30k² and 19k², respectively, so their ratio is 30 : 19.