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If a : b = 2 : 3, then find the value of (3a + 7b) : (6a – 3b).
Question

If a : b = 2 : 3, then find the value of (3a + 7b) : (6a – 3b).

A.

9 : 1

B.

6 : 1

C.

3 : 1

D.

2 : 1

Correct option is A

Given:

a : b = 2 : 3

Solution :

Let a = 2x, b = 3x

3a+7b6a3b=6x+21x12x9x=27x3x=91\frac{3a + 7b}{6a - 3b}=\frac{6x + 21x}{12x-9x}=\frac{27x}{3x}=\frac91​​

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