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Find the value of x, if: (2x + 1) : (3x + 13) is the sub-duplicate ratio of 9 : 25.

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Question

Find the value of x, if: (2x + 1) : (3x + 13) is the sub-duplicate ratio of 9 : 25.

Sum
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Solution

(2x + 1) : (3x + 13) is the sub-duplicate ratio of 9 : 25

Sub-duplicate ratio of 9 : 25 = 3 : 5

`(2x + 1)/(3x + 13) = 3/5`

10x + 5 = 9x + 39

10x – 9x = 39 – 5

x = 34

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Chapter 7: Ratio and Proportion (Including Properties and Uses) - Exercise 7 (D) [Page 102]

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Selina Concise Mathematics [English] Class 10 ICSE
Chapter 7 Ratio and Proportion (Including Properties and Uses)
Exercise 7 (D) | Q 5.(ii) | Page 102
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