If a : b = 2 : 7, then what will be the value of (3a + 2b) : (5a – 2b) ?

Correct option is B

Given:

a : b = 2 : 7

Solution:
Let a = 2x, b = 7x

(3a + 2b) : (5a - 2b) =$$\frac{3(2x) + 2(7x)}{5(2x) - 2(7x)}$$​

$$= \frac{6x + 14x}{10x - 14x} = \frac{20x}{-4x} = -5$$​​

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