Solution
Given ,
a : b = 5 : 7
(5a - 3b) : (4a - 2b)
Divide numerator and denominator by b , we get
$$\frac{5\frac{a}{b} - 3}{4\frac{a}{b} - 2}$$
= $$\frac{\frac{25}{7} - 3}{\frac{20}{7} - 2}$$
=$$\frac{4}{6}$$
=$$\frac{2}{3}$$
So , the answer would be option a) 2:3.
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