If $(3 a + 2 b) ∶ (5 a + 3 b) = 18 ∶ 29$ , then the value of $a : b$ is:

3 : 4

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4 : 3

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2 : 1

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1 : 2

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Solution

The correct option is B $4 : 3$
$(3 a + 2 b) ∶ (5 a + 3 b) = 18 ∶ 29$
$\Rightarrow \frac{(3 a + 2 b)}{(5 a + 3 b)} = \frac{18}{29}$
i.e. $87 a + 58 b = 90 a + 54 b$
$\Rightarrow 3 a = 4 b$
$\Rightarrow \frac{a}{b} = \frac{4}{3}$

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Similar questions

(3 a + 2 b) : (5 a + 3 b) = 18 : 29

a : b

If (3a+2b) : (5a+3b) = 18 : 29, find a : b

a : b = 3 : 5

(10 a + 3 b) : (5 a + 2 b)

3

5

(10 a + 3 b) : (5 a + 2 b)

(3 a + 2 b) - (- 2 a - 5 b)

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