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If 2a = 3b and 4b = 5c, Find: a : C. - Mathematics

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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