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Mathematics

If 2a = 3b and 4b = 5c, find : a : c.

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2a = 3b

$\dfrac{a}{b} = \dfrac{3}{2}$

⇒ a : b = 3 : 2

4b = 5c

$\dfrac{b}{c} = \dfrac{5}{4}$

⇒ b : c = 5 : 4

Multiplying a : b by 5 and b : c by 2 we get,

a : b = 15 : 10

b : c = 10 : 8

⇒ a : b : c = 15 : 10 : 8

Hence, a : c = 15 : 8.

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