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
Concept: Concept of Ratio
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