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Question
If 2a = 3b and 4b = 5c, find: a : c.
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Solution
We have,
2a = 3b `=> "a"/"b" = 3/2`
And 4b = 5c `=> "b"/"c" = 5/4`
Now, `"a"/"b" = 3/2 = (3 xx 5)/(2 xx 5) = 15/10` and `"b"/"c" = 5/4 = (5 xx 2)/(4 xx 2) = 10/8`
⇒ a : b : c = 15 : 10 : 8
⇒ a : c = 15 : 8
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