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If x : y = 2 : 3, and y : z = 4 : 7, find x : y : z - Mathematics

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Question

If x : y = 2 : 3, and y : z = 4 : 7, find x : y : z

Sum

Solution

LCM of y's terms 3 and 4 = 12
Making equals of y as 12

`x/y = (2)/(3) = (2 xx 4)/(3 xx 4) = (8)/(12)` or 8 : 12

`y/z = (4)/(7) xx (3)/(3) = (12)/(21)` or 12 : 21
Then x : y : z = 8 : 12 : 21.

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Chapter 7: Ratio and Proportion - Exercise 7.1

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ML Aggarwal Understanding ICSE Mathematics [English] Class 10
Chapter 7 Ratio and Proportion
Exercise 7.1 | Q 9.2
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