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

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Question

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

Sum
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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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Chapter 7: Ratio and Proportion (Including Properties and Uses) - Exercise 7 (A) [Page 88]

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Selina Concise Mathematics [English] Class 10 ICSE
Chapter 7 Ratio and Proportion (Including Properties and Uses)
Exercise 7 (A) | Q 19.(ii) | Page 88
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